Let's divide 101318 by 61
Our goal is to divide 101318 by 61.

Going ahead to step 1:
61 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 61

Let's proceed to step 2:
The number 61 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 61

Step 3:
101 divided by 61 is 1 with a remainder of 40.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 61 from 101, we get 40.
Fetch the next digit (3) from the dividend, attach it to 40 and continue: 403 / 61

Step 4:
The number 61 fits into 403 6 times, leaving a remainder of 37.
Write down 6 as next digit of the result. 
Result so far: 16.0
The remainder is 37 after subtracting 366 from 403.
Fetch the next digit (1) from the dividend, attach it to 37 and continue: 371 / 61

Advancing to step 5:
61 can be fit into 371 6 times, resulting in a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 166.0
If we subtract 366 from 371, we get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 61

Step 6:
58 divided by 61 is 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 1660.0
Subtract 0 from 58 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 7:
If we divide 580 by 61, we get 9 and a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 1660.9
The remainder is 31 after subtracting 549 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 8:
61 can be fit into 310 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 1660.95
If we subtract 305 from 310, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
When dividing 50 by 61, we get 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 1660.95
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 10:
When dividing 500 by 61, we get 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 1660.9508
The remainder is 12 after subtracting 488 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
The number 61 fits into 120 1 times, leaving a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 1660.95081
Deduct 61 from 120 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 12:
61 goes into 590 9 times with a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 1660.950819
Subtract 549 from 590 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 13:
61 can be fit into 410 6 times, resulting in a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 1660.9508196
The remainder is 44 after subtracting 366 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 14:
The number 61 fits into 440 7 times, leaving a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 1660.95081967
The remainder is 13 after subtracting 427 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 1660.95081967, and the remainder is 1.3e-08.