We divide 113624 by 2
We're looking to find how many times 2 goes into 113624.

Going ahead to step 1:
2 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 2

Going ahead to step 2:
If we divide 11 by 2, we get 5 and a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 10 from 11, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 2

Let's proceed to step 3:
2 goes into 13 6 times with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
Subtract 12 from 13 to get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 2

Let's proceed to step 4:
When dividing 16 by 2, we get 8 with a remainder of 0.
The next digit of our result is 8. 
Result so far: 568.0
Deduct 16 from 16 and we're left with 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 2

Let's proceed to step 5:
When dividing 2 by 2, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 5681.0
Subtracting 2 from 2 leaves us with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 2

Advancing to step 6:
4 divided by 2 is 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 56812.0
Subtract 4 from 4 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 56812.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
If we divide 0 by 2, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 56812.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 56812.0 and a remainder of 0.0.