Long Division With Regrouping And Without Remainder is an easy method. It is similar to Long Division With Regrouping And With Remainder except it has a remainder. This article will include Long Division definition, how to do Long Division With Regrouping And Without Remainder. By going through this article completely you can also check the solved examples for a better understanding of the concept.
Also, Refer:
- Long Division With Regrouping and With Remainder
- Long Division Without Regrouping and Without Remainder
- Long Division Method Without Regrouping With Remainder
Long Division – Definition
Long division is a method used for dividing large numbers into groups or parts. The long division helps in breaking the division problem into a sequence of easier steps. Just like the standard division it also includes terminology like Dividend, divisor, Quotient, Remainder.
The number that is being divided by is called Dividend. The number that is being divided is called Divisor. The answer to the division is called Quotient. The remainder is the leftover part after division.
How To Do Long Division With Regrouping And Without Remainder
Consider the following steps for doing long division with Regrouping and without the remainder.
- Start with the first digit of the dividend. Divide the digit with a divisor.
- The answer is written as a quotient and subtract the number from the dividend.
- Bring down the next digit right side of the difference.
- Divide the number with a divisor.
- Write the answer as a quotient and subtract the number from the other number.
- Repeat the process. (if a number exists).
Here you can have a look at the solved examples of the long division method with regrouping and without remainder.
Long Division Method With Regrouping and Without Remainder Examples
Example 1:
Divide the numbers 574,2 by long division method with regrouping and without the remainder?
Solution:
1. Begin with a hundred digit 5, Divide the hundred digit by 2. 5 is not completely divisible by 2. We know that 2*2=4. we will go for it.
5 Hundred÷2 ones=2Hundred.
2. Write the 2 as quotient and subtract the hundred digit from the number i.e. 5-4=1.
3. Bring down the tens digit 7 and place it after 1. It becomes 17. Now Divide it by 2.17 is not completely divisible by 2. we know that 2*8=16. We will go for it.
17 Tens÷2 ones=8Ten.
4. Write the 8 as quotient and subtract 16 from the number17 i.e. 17-16=1.
5. Bring down the one’s digit 4 and place it after 1. It becomes 14. Divide it by 2.
14 ones÷2 ones=7 ones
6. Write the digit 7 as quotient and subtract 14 from the number 14 i.e. 14-14=0.
7. Therefore, the division of 574,2 is 287 with 0 as the remainder.
Example 2:
Find the long division of the number 4968 by 3 with regrouping and without remainder?
Solution:
1. Begin with the thousand’s digit 4. Divide it by 3. 4 is not completely divisible by 3.We know that 3*1=3. We will go for it.
4 thousands÷3ones=1thousand.
2. Write 1 as Quotient and subtract 3 from 4 i.e. 4-3=1.
3. Bring down a Hundred digit 9 and place it after 1. It becomes 19. Divide it by 3.19 is not completely divisible by 3. We know that 3*6=18. We will go for it.
19 Hundred÷3 Ones=6Hundred.
4. Write 6 as Quotient and subtract 18 from 19 i.e. 18-19=1.
5. Bring down tens digit 16. Divide it by 3. 16 is not completely divisible by 3. We know that 3*5=15. We will go for it.
16 Tens÷3 ones=5Tens.
6. Write 5 as Quotient and subtract 15 from 16 i.e. 15-16=1.
7. Bring down One’s digit 8. Divide it by 3.
18 Ones÷3 ones=6 ones.
8. Write 6 as Quotient.
Therefore, the division of 4969÷3 is 1656 with 0 as the Remainder.
Example 3:
Find the long division of the number 5937 by 3 with regrouping and without remainder?
Solution:
1. Begin with the thousand’s digit 5. Divide it by 3. 5 is not completely divisible by 3. We know that 3*1=3. We will go for it.
5 thousands÷3ones=1thousand.
2. Write 1 as Quotient and subtract 5 from 3 i.e. 5-3=2.
3. Bring down a Hundred digit 9 and place after 2. It becomes 29 Divide it by 3. 29 is not completely divisible by 3. We know that 3*9=27. We will go for it.
29 Hundred÷3 ones=9Hundred.
4. Write 9 as Quotient and subtract 27 from 29 i.e. 29-27=2.
5. Bring down tens digit 3 and place it after 2. It becomes 23. Divide it by 3. We know 23 is not completely divisible by 3. We know that 3*7=21. We will go for it.
23 Tens÷3 ones=7 Tens.
6. Write 7 as Quotient and subtract 21 from 23 i.e. 23-21=2.
7. Bring down One’s digit 7 and place it after 2. It becomes 27. Divide it by 3. We know that 3*9=27. We will go for it.
28 Ones÷3 ones=9 ones.
8. Write 9 as Quotient.
Therefore, the division of 5937÷3 is 1979 with 0 as the remainder.
Example 4:
Find the long division of the number 9754 by2 with regrouping and without remainder?
Solution:
1. Begin with the thousand’s digit 9. Divide it by 2.
9 thousands÷2ones=4thousand.
2. Write 4 as Quotient and subtract 8 from 9 i.e. 9-8=1.
3. Bring down a Hundred digit 7 and place it after 1. It becomes 17. Divide it by 2. 17 is not completely divisible by 2.We know that 2*8=16. We will go for it.
17 Hundred ÷2 ones=8 Hundred
4. Write 8 as Quotient and subtract 16 from 17 i.e. 17-16=1.
5. Bring down tens digit 5 and place it after 1. It becomes 15. Divide it by 2. 15 is not completely divisible by 2. We know that 2*7=14.
15Tens÷2 ones=7 Tens.
6. Write 7 as Quotient and subtract 14 from 15 i.e. 15-14=1.
7. Bring down One’s digit 4 and place it after 1. It becomes 14. Divide it by 2.
14 Ones÷2 Ones=7 Ones.
8. Write 7 as Quotient.
Therefore, the division of 9754÷2 is 4877 with 0 as the remainder.
Example 5:
Find the long division of 5798,2 with regrouping and without remainder?
Solution:
1. Begin with the thousand’s digit 5. Divide it by 2. 5 is not completely divisible by 2. We know that 2*2=4. We will go for it.
5 thousands÷2ones=2thousand.
2. Write 2 as Quotient and subtract 4 from 5 i.e. 5-4=1.
3. Bring down a Hundred digit 7 and place it after 1. It becomes 17. Divide it by 2.since 17 is not completely divisible by 2, we will go for 2*8=16.
17 Hundred÷2 ones=8Hundred.
4. Write 8 as Quotient and subtract 16 from 17 i.e. 16-17=1.
5. Bring down tens digit 9 and place it after 1. It becomes 19. Divide it by 2. 19 is not completely divisible by 2. We know that 2*9=18. We will go for it.
19 Tens÷2 ones=9 Tens.
6. Write 9 as Quotient and subtract 18 from 19 i.e. 18-19=1.
7. Bring down One’s digit 8 and place it after 1. It becomes 18. Divide it by 2.
18Ones÷2 ones=9 ones.
8. Write 9 as Quotient and 0 as the Remainder.
Therefore, the division of 5798÷2 is 2899 with the remainder as 0.