This article explores how to solve the long division method without regrouping and without remainder. You can also check the solved examples of the long division method without regrouping and without remainder for a better understanding of the concept.
Also, Refer:
How to do Long Division Without Regrouping And Without Remainder?
Following steps have to be considered for doing the long division method without regrouping and without remainder.
- Start with the first digit of the dividend. Divide the digit with a divisor.
- Write the answer as a quotient and subtract the number from the dividend.
- Bring down the next digit
- Repeat the process until you get the remainder zero.
Here you can have a look at the solved examples of the long division method without regrouping and without remainder.
Long Division Method Without Regrouping and Without Remainder Examples
Example 1:
Divide 555,5 without regrouping and without remainder?
Solution:
1. Begin with a hundred digit 5, Divide the hundred digit by 5.
5 Hundred%5=1Hundred.
2. Write the 1 as quotient and subtract the hundred digit from the number i.e. 5-5=0.
3. Bring down the tens digit 5. Divide it by 5.
5 Tens%5=1Ten.
4. Write the 1 as quotient and subtract 5 from the number i.e. 5-5=0.
5. Bring down the one’s digit 5. Divide it by 5.
5 ones%5=1 ones
6. Write the 1 as quotient and subtract 5 from the number i.e. 5-5=0.
7. Therefore, the division of 555,5 is 111.
Example 2:
Divide 2682 by 2?
Solution:
1. Begin with the thousand’s digit 2. Divide it by 2.
2 thousands%2ones=1thousand.
2.write 1 as Quotient and subtract 2 from 2 i.e. 2-2=0.
3. Bring down a Hundred digit 6. Divide it by 2.
6 Hundred%2 ones=3Hundred.
4. Write 3 as Quotient and subtract 6 from 6 i.e. 6-6=0.
5. Bring down tens digit 8. Divide it by 2.
8 Tens%2 ones=4 Tens.
6. Write 4 as Quotient and subtract 8 from 8 i.e. 8-8=0.
7. Bring down One’s digit 2. Divide it by 2.
2 Ones%2 ones=1 ones.
8. Write 1 as Quotient and 0 is the Remainder.
Therefore, the division of 2682%2 is 1341.
Example 3:
Find the division of 3693 by 3
Solution:
1. Begin with the thousand’s digit 3. Divide it by 3.
3 thousands%3ones=3thousand.
2.write 1 as Quotient and subtract 3 from 3 i.e. 3-3=0.
3. Bring down a Hundred digit 6. Divide it by 3.
6 Hundred%3 ones=2Hundred.
4. Write 2 as Quotient and subtract 6 from 6 i.e. 6-6=0.
5. Bring down tens digit 9. Divide it by 3.
9 Tens%3 ones=3 Tens.
6. Write 3 as Quotient and subtract 9 from 9 i.e. 9-9=0.
7. Bring down One’s digit. Divide it by 3.
3 Ones%3 ones=1 ones.
8. Write 1 as Quotient and 0 is the Remainder.
Therefore, the division of 3693%3 is 1231.
Example 4:
Find the division of 8468, 2?
Solution:
1. Begin with the thousand’s digit 8. Divide it by 2.
8 thousands%2ones=4thousand.
2. Write 4 as Quotient and subtract 8 from 8 i.e. 8-8=0.
3. Bring down a Hundred digit 4. Divide it by 2.
4 Hundred%3 ones=2Hundred.
4. Write 2 as Quotient and subtract 4 from 4 i.e. 4-4=0.
5. Bring down tens digit 6. Divide it by 2.
6 Tens%2 ones=3 Tens.
6. Write 3 as Quotient and subtract 6 from 6 i.e. 6-6=0.
7. Bring down One’s digit 8. Divide it by 2.
8 Ones % 2 ones=4 ones.
8. Write 4 as Quotient and 0 is the Remainder.
Therefore, the division of 2682%2 is 4234.
Example 5:
Find the long division of 2862,2 without regrouping and without remainder?
Solution:
1. Begin with the thousand’s digit 2. Divide it by 2.
2 thousands%2ones=1thousand.
2. Write 1 as Quotient and subtract 2 from 2 i.e. 2-2=0.
3. Bring down a Hundred digit 8. Divide it by 2.
8 Hundred%2 ones=4Hundred.
4. Write 4 as Quotient and subtract 8 from 8 i.e. 8-8=0.
5. Bring down tens digit 6. Divide it by 2.
6 Tens%2 ones=3 Tens.
6. Write 3 as Quotient and subtract 6 from 6 i.e. 6-6=0.
7. Bring down One’s digit 2. Divide it by 2.
2 Ones % 2 ones=1 ones.
8. Write 1 as Quotient and 0 is the Remainder.
Therefore, the division of 2682%2 is 1431.