We will discuss here how to solve step-by-step the long division method with regrouping and without remainder.
Consider the following examples:
1. 468 ÷ 3
Let us follow the division along with the given steps.
Step I: Begin with hundreds digit 4 hundreds ÷ 3 = 1 hundred with remainder 1 hundred
Step II: Bring down 6 tens to the right of 1 hundred 1 hundred + 6 tens = 16 tens Step III: 16 tens ÷ 3 = 5 tens with remainder 1 ten Step IV: Bring down 8 ones to the right of 1 ten 1 ten + 8 ones = 18 ones Step V: 18 ones ÷ 3 = 6 ones |
Therefore, 468 ÷ 3 = 156
2. 9120 ÷ 5
Let us follow the division along with the given steps.
Step I: Begin with thousands digit 9 thousands ÷ 5 = 1 thousand with remainder 4 thousands
Step II: Bring down 1 hundred to the right of 4 thousands Step III: Now 4 thousands + 1 hundred = 41 hundreds Step IV: Now 41 hundreds ÷ 5 = 8 hundreds with remainder 1 hundred Step V: Bring down 2 tens to the right of 1 hundred Step VI: Now 1 hundred + 2 tens = 12 tens Step VII: So, 12 tens ÷ 5 = 2 with remainder 2 tens Step VIII: Bring down zero to the right of 2 tens So, 2 tens + 0 ones = 20 ones Now 20 ones ÷ 5 = 4 ones |
Therefore, 9120 ÷ 5 = 1824
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