Let's divide 105731 by 66
We want to divide 105731 by 66.

Moving on to step 1:
The number 66 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 66

On to step 2:
10 divided by 66 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 66

Going ahead to step 3:
66 can be fit into 105 1 times, resulting in a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 66 from 105 to get 39.
Bring next digit (7) of the dividend behind the 39 and repeat the process: 397 / 66

Let's proceed to step 4:
66 goes into 397 6 times with a remainder of 1.
The next digit of our result is 6. 
Result so far: 16.0
If we take 396 away from 397, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 66

Going ahead to step 5:
If we divide 13 by 66, we get 0 and a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 160.0
The remainder is 13 after subtracting 0 from 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 66

Let's proceed to step 6:
If we divide 131 by 66, we get 1 and a remainder of 65.
Put 1 as the next digit of the answer. 
Result so far: 1601.0
If we subtract 66 from 131, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 7:
The number 66 fits into 650 9 times, leaving a remainder of 56.
Put 9 as the next digit of the answer. 
Result so far: 1601.9
Deduct 594 from 650 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 8:
560 divided by 66 is 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 1601.98
If we take 528 away from 560, we end up 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.

Step 9:
The number 66 fits into 320 4 times, leaving a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 1601.984
If we subtract 264 from 320, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 10:
560 divided by 66 is 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 1601.9848
If we take 528 away from 560, we end up 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.

Advancing to step 11:
66 can be fit into 320 4 times, resulting in a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 1601.98484
Subtracting 264 from 320 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 12:
560 divided by 66 is 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 1601.984848
If we subtract 528 from 560, we get 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 13:
The number 66 fits into 320 4 times, leaving a remainder of 56.
The next digit of our result is 4. 
Result so far: 1601.9848484
If we subtract 264 from 320, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 14:
If we divide 560 by 66, we get 8 and a remainder of 32.
The next digit of our result is 8. 
Result so far: 1601.98484848
If we take 528 away from 560, we end up 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.

Our division results in 1601.98484848 with a remaining 3.2e-08.