We look at the division of 113126 by 74 
We're looking to find how many times 74 goes into 113126.

On to step 1:
When dividing 1 by 74, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 74

Moving on to step 2:
11 divided by 74 is 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 74

Step 3:
The number 74 fits into 113 1 times, leaving a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 74 from 113 leaves us with 39.
Bring next digit (1) of the dividend behind the 39 and repeat the process: 391 / 74

On to step 4:
74 goes into 391 5 times with a remainder of 21.
The next digit of our result is 5. 
Result so far: 15.0
Subtract 370 from 391 to get 21.
Bring next digit (2) of the dividend behind the 21 and repeat the process: 212 / 74

Advancing to step 5:
74 goes into 212 2 times with a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 152.0
Subtract 148 from 212 to get 64.
Append the next digit (6) from the dividend to 64 and continue with: 646 / 74

Step 6:
74 goes into 646 8 times with a remainder of 54.
Write down 8 as next digit of the result. 
Result so far: 1528.0
Subtracting 592 from 646 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 7:
540 divided by 74 is 7 with a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 1528.7
The remainder is 22 after subtracting 518 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 8:
The number 74 fits into 220 2 times, leaving a remainder of 72.
Write down 2 as next digit of the result. 
Result so far: 1528.72
The remainder is 72 after subtracting 148 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 9:
74 goes into 720 9 times with a remainder of 54.
Record the quotient 9 as the next digit in the result. 
Result so far: 1528.729
Subtracting 666 from 720 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 10:
74 goes into 540 7 times with a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 1528.7297
The remainder is 22 after subtracting 518 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 11:
220 divided by 74 is 2 with a remainder of 72.
Record the quotient 2 as the next digit in the result. 
Result so far: 1528.72972
If we take 148 away from 220, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 12:
If we divide 720 by 74, we get 9 and a remainder of 54.
The next digit of our result is 9. 
Result so far: 1528.729729
Subtracting 666 from 720 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 13:
When dividing 540 by 74, we get 7 with a remainder of 22.
Write down 7 as next digit of the result. 
Result so far: 1528.7297297
The remainder is 22 after subtracting 518 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 14:
220 divided by 74 is 2 with a remainder of 72.
Record the quotient 2 as the next digit in the result. 
Result so far: 1528.72972972
Subtracting 148 from 220 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 1528.72972972 with a balance of 7.2e-08.