Let's divide 113 by 61
We're looking to find how many times 61 goes into 113.

Moving on to step 1:
61 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 61

Moving on to step 2:
When dividing 11 by 61, we get 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 61

Advancing to step 3:
When dividing 113 by 61, we get 1 with a remainder of 52.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 61 away from 113, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 4:
When dividing 520 by 61, we get 8 with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 1.8
Subtracting 488 from 520 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.

Going ahead to step 5:
The number 61 fits into 320 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 1.85
If we subtract 305 from 320, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 6:
150 divided by 61 is 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 1.852
If we take 122 away from 150, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 7:
If we divide 280 by 61, we get 4 and a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 1.8524
If we subtract 244 from 280, 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.

Moving on to step 8:
61 can be fit into 360 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 1.85245
Subtracting 305 from 360 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 9:
When dividing 550 by 61, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 1.852459
Subtracting 549 from 550 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
When dividing 10 by 61, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 1.852459
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
100 divided by 61 is 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.85245901
If we subtract 61 from 100, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

After the division, we end up with 1.85245901 and a remainder of 3.9e-08.