113627 ÷ 52 
We want to figure out the number of times 113627 can be divided by 52.

Step 1:
52 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 52

Going ahead to step 2:
52 can be fit into 11 0 times, resulting in a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 52

Moving on to step 3:
52 goes into 113 2 times with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 104 from 113, we get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 52

Advancing to step 4:
52 can be fit into 96 1 times, resulting in a remainder of 44.
The next digit of our result is 1. 
Result so far: 21.0
If we take 52 away from 96, we end up with 44.
Fetch the next digit (2) from the dividend, attach it to 44 and continue: 442 / 52

Going ahead to step 5:
The number 52 fits into 442 8 times, leaving a remainder of 26.
The next digit of our result is 8. 
Result so far: 218.0
Deduct 416 from 442 and we're left with 26.
Append the next digit (7) from the dividend to 26 and continue with: 267 / 52

Advancing to step 6:
If we divide 267 by 52, we get 5 and a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 2185.0
If we subtract 260 from 267, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
70 divided by 52 is 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 2185.1
If we subtract 52 from 70, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
52 can be fit into 180 3 times, resulting in a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 2185.13
If we take 156 away from 180, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 9:
If we divide 240 by 52, we get 4 and a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 2185.134
Subtracting 208 from 240 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 10:
52 can be fit into 320 6 times, resulting in a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 2185.1346
Subtracting 312 from 320 leaves us 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.

Advancing to step 11:
52 can be fit into 80 1 times, resulting in a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 2185.13461
The remainder is 28 after subtracting 52 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 12:
52 goes into 280 5 times with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 2185.134615
If we subtract 260 from 280, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 13:
200 divided by 52 is 3 with a remainder of 44.
Put 3 as the next digit of the answer. 
Result so far: 2185.1346153
If we subtract 156 from 200, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 14:
If we divide 440 by 52, we get 8 and a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 2185.13461538
If we subtract 416 from 440, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Our division results in 2185.13461538 with a remaining 2.4e-08.