Let's divide 113974 by 61
Let's see how many times 61 fits into 113974.

Advancing to step 1:
If we divide 1 by 61, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 61

Advancing to step 2:
When dividing 11 by 61, we get 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 61

Moving on to step 3:
If we divide 113 by 61, we get 1 and a remainder of 52.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 61 from 113 leaves us with 52.
Take the next digit (9) from the dividend and append it to 52, then repeat: 529 / 61

Let's proceed to step 4:
529 divided by 61 is 8 with a remainder of 41.
The next digit of our result is 8. 
Result so far: 18.0
Deduct 488 from 529 and we're left with 41.
Grab the next digit (7) from the dividend, add it to 41, then carry on: 417 / 61

Let's proceed to step 5:
61 can be fit into 417 6 times, resulting in a remainder of 51.
The number 6 becomes the next digit in our result. 
Result so far: 186.0
Deduct 366 from 417 and we're left with 51.
Append the next digit (4) from the dividend to 51 and continue with: 514 / 61

On to step 6:
When dividing 514 by 61, we get 8 with a remainder of 26.
The next digit of our result is 8. 
Result so far: 1868.0
If we take 488 away from 514, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
If we divide 260 by 61, we get 4 and a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 1868.4
Subtract 244 from 260 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
The number 61 fits into 160 2 times, leaving a remainder of 38.
The next digit of our result is 2. 
Result so far: 1868.42
Subtract 122 from 160 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 9:
When dividing 380 by 61, we get 6 with a remainder of 14.
The next digit of our result is 6. 
Result so far: 1868.426
Subtract 366 from 380 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 10:
When dividing 140 by 61, we get 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 1868.4262
Deduct 122 from 140 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 11:
When dividing 180 by 61, we get 2 with a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 1868.42622
If we take 122 away from 180, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

The quotient of the division is 1868.42622, and the remainder is 5.8e-05.