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Long Division Method without Regrouping and without Remainder
We will discuss here how to solve step-by-step the long division method without regrouping and without remainder.
Consider the following examples:
A. Dividing a 2-Digits Number by 1-Digit Number Without Regrouping and Without Remainder:
1. Divide 93 by 3
Step I.
First, arrange the number and divide 9 tens by 3.
We know that 3 × 3 = 9
So, we write 3 in tens place in the quotient.
Step II.
Write 9 (product of 3 and 3) in tens place below the dividend and subtract.
9 tens - 9 tens = 0
Now, 3 ones are left, we bring down 3 ones.
As, 3 × 1 = 3.
So, we write 1 in ones place in the quotient and 3 below the dividend in ones place.
Step III.
Subtract ones.
3 - 3 = 0,
We get 0 as the remainder.
Therefore, 93 ÷ 3 = 31
B. Dividing a 3-Digits Number by 1-Digit Number Without Regrouping and Without Remainder:
1. 848 ÷ 4
Let us follow the division along with the given steps.
 |
Step I: Begin with hundreds digit
8 hundreds ÷ 4 = 2 hundreds Step II: Bring down tens digit
4 tens ÷ 4 = 1 ten Step III: Bring down ones digit 8 ones ÷ 4 = 2 ones |
Therefore, 848 ÷ 4 = 212
2. 6482 ÷ 2
Let us follow the division along with the given steps.
 |
Step I: Begin with thousands digit 6 thousands ÷ 2 = 3 thousands
Step II: Bring down hundreds digit then 4 hundreds ÷ 2 = 2 hundreds Step III: Bring down tens digit 8 tens ÷ 2 = 4 tens Step IV: Bring down ones digit 2 ones ÷ 2 = 1 ones |
Therefore 6482 ÷ 2 = 3241
3. Divide 684 by 2.
Solution:
Step I: Arrange the numbers in proper columns.
Step II: Divide 6 hundreds by 2. (2 × 3 = 6)
Write 3 in hundreds place in the quotient.
Subtract the hundreds: 6 - 6 = 0
Step III: Divide 8 tens by 2. (2 × 4 = 8)
Write 4 in tens place in the quotient.
Subtract the tens 8 - 8 = 0
Step IV: Divide 4 ones by 2. (2 × 2 = 4)
Write 2 in ones place in the quotient.
Subtract the ones: 4 - 4 = 0
Therefore, 684 ÷ 2 = 342
Check:
342 × 2 = 684
So, the answer is correct.
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