113639 ÷ 96 
We want to figure out the number of times 113639 can be divided by 96.

Moving on to step 1:
If we divide 1 by 96, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 96

Going ahead to step 2:
11 divided by 96 is 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 96

Advancing to step 3:
The number 96 fits into 113 1 times, leaving a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 96 away from 113, we end up with 17.
Include the next digit (6) from the dividend after 17, then repeat: 176 / 96

Moving on to step 4:
176 divided by 96 is 1 with a remainder of 80.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we subtract 96 from 176, we get 80.
Fetch the next digit (3) from the dividend, attach it to 80 and continue: 803 / 96

Step 5:
When dividing 803 by 96, we get 8 with a remainder of 35.
Put 8 as the next digit of the answer. 
Result so far: 118.0
Subtracting 768 from 803 leaves us with 35.
Fetch the next digit (9) from the dividend, attach it to 35 and continue: 359 / 96

Step 6:
The number 96 fits into 359 3 times, leaving a remainder of 71.
The number 3 becomes the next digit in our result. 
Result so far: 1183.0
Deduct 288 from 359 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 7:
If we divide 710 by 96, we get 7 and a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 1183.7
The remainder is 38 after subtracting 672 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 8:
The number 96 fits into 380 3 times, leaving a remainder of 92.
The number 3 becomes the next digit in our result. 
Result so far: 1183.73
If we subtract 288 from 380, we get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Going ahead to step 9:
96 goes into 920 9 times with a remainder of 56.
Put 9 as the next digit of the answer. 
Result so far: 1183.739
The remainder is 56 after subtracting 864 from 920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 10:
96 goes into 560 5 times with a remainder of 80.
The number 5 becomes the next digit in our result. 
Result so far: 1183.7395
If we take 480 away from 560, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 11:
800 divided by 96 is 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 1183.73958
Subtracting 768 from 800 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 12:
The number 96 fits into 320 3 times, leaving a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 1183.739583
The remainder is 32 after subtracting 288 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 13:
The number 96 fits into 320 3 times, leaving a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 1183.7395833
Deduct 288 from 320 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 1183.7395833 and a remainder of 3.2e-07.