113699 ÷ 44 
We want to figure out the number of times 113699 can be divided by 44.

On to step 1:
44 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 44

Moving on to step 2:
44 goes into 11 0 times with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 44

Going ahead to step 3:
The number 44 fits into 113 2 times, leaving a remainder of 25.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 88 from 113 and we're left with 25.
Grab the next digit (6) from the dividend, add it to 25, then carry on: 256 / 44

Advancing to step 4:
256 divided by 44 is 5 with a remainder of 36.
Put 5 as the next digit of the answer. 
Result so far: 25.0
Subtracting 220 from 256 leaves us with 36.
Fetch the next digit (9) from the dividend, attach it to 36 and continue: 369 / 44

Advancing to step 5:
The number 44 fits into 369 8 times, leaving a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 258.0
If we subtract 352 from 369, we get 17.
Append the next digit (9) from the dividend to 17 and continue with: 179 / 44

Let's proceed to step 6:
179 divided by 44 is 4 with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 2584.0
Deduct 176 from 179 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
44 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 2584.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
44 goes into 300 6 times with a remainder of 36.
Write down 6 as next digit of the result. 
Result so far: 2584.06
The remainder is 36 after subtracting 264 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 9:
If we divide 360 by 44, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 2584.068
Deduct 352 from 360 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
44 can be fit into 80 1 times, resulting in a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 2584.0681
If we subtract 44 from 80, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 11:
44 goes into 360 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 2584.06818
Subtract 352 from 360 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
The number 44 fits into 80 1 times, leaving a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 2584.068181
Subtracting 44 from 80 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 13:
If we divide 360 by 44, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 2584.0681818
Deduct 352 from 360 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
80 divided by 44 is 1 with a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 2584.06818181
If we subtract 44 from 80, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

After the division, we end up with 2584.06818181 and a remainder of 3.6e-08.