How to divide $10100 \div 2$ with long division?

Question

How to divide $10100 \div 2$? I'm trying to divide 10100 by 2 with pen & paper and getting 550 as answer which is incorrect (**Right answer is 5050). Literally, I think I have forgot primary level math. Could you guys help me to solve this problem with proper step by step guideline? Thanks in advance!

Here I got a long division solution but not clear to me: Long Division Solution

$$\dfrac{10100}{2} = \dfrac{10000 + 100}2 = \dfrac{10000}2 + \dfrac{100}2 = 5000 + 50 = 5050$$ — an4s, Jan 06 '20 at 05:42
@an4s Thanks for reply. But Could you please solve this with long division? — Coduser, Jan 06 '20 at 05:49
@runway44 Actually I have forgot that method of long division. That's why linked solution is confusing to me. — Coduser, Jan 06 '20 at 06:23
$2$ goes into $1$ a total of $0$ times. Thus, $0$ becomes the hundreds digit of the quotient. — Andrew Chin, Jan 06 '20 at 15:37

score 1 · Answer 1 · answered Jan 06 '20 at 05:58

The long division algorithm starts at the most significant digit of the dividend and works its way down. In this case since $1<2$ we start with $10$, divide by $2$ to get $5$ as the leading digit, then subtract $2\times 5$ from $10$ to get $0$, so the next digit is $0$, then $1<2$ again and repeat to get $5050$ in the end.

See here for an illustrated example.

score 1 · Answer 2 · edited Jan 06 '20 at 06:13

1

Because writing this in comments results in loss of formatting:

   5050 <-- quotient
  -----
2)10100
  10
  --
    10
    10
    --
        <-- remainder

edited Jan 06 '20 at 06:13

ViHdzP

4,582
2
18
44

answered Jan 06 '20 at 06:03

an4s

3,716

How to divide $10100 \div 2$ with long division?

2 Answers2