Let's divide 108431 by 66
We're looking to find how many times 66 goes into 108431.

Going ahead to step 1:
66 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 66

On to step 2:
When dividing 10 by 66, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 66

Step 3:
66 can be fit into 108 1 times, resulting in a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 66 from 108 and we're left with 42.
Grab the next digit (4) from the dividend, add it to 42, then carry on: 424 / 66

Going ahead to step 4:
424 divided by 66 is 6 with a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtracting 396 from 424 leaves us with 28.
Take the next digit (3) from the dividend and append it to 28, then repeat: 283 / 66

Let's proceed to step 5:
66 can be fit into 283 4 times, resulting in a remainder of 19.
Record the quotient 4 as the next digit in the result. 
Result so far: 164.0
If we take 264 away from 283, we end up with 19.
Take the next digit (1) from the dividend and append it to 19, then repeat: 191 / 66

Moving on to step 6:
66 goes into 191 2 times with a remainder of 59.
The next digit of our result is 2. 
Result so far: 1642.0
Subtracting 132 from 191 leaves us 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.

Advancing to step 7:
When dividing 590 by 66, we get 8 with a remainder of 62.
Write down 8 as next digit of the result. 
Result so far: 1642.8
Subtracting 528 from 590 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 8:
When dividing 620 by 66, we get 9 with a remainder of 26.
Use 9 as the next digit of our solution. 
Result so far: 1642.89
If we subtract 594 from 620, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 9:
When dividing 260 by 66, we get 3 with a remainder of 62.
Use 3 as the next digit of our solution. 
Result so far: 1642.893
Deduct 198 from 260 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 10:
When dividing 620 by 66, we get 9 with a remainder of 26.
Put 9 as the next digit of the answer. 
Result so far: 1642.8939
The remainder is 26 after subtracting 594 from 620.
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 11:
66 can be fit into 260 3 times, resulting in a remainder of 62.
Use 3 as the next digit of our solution. 
Result so far: 1642.89393
If we subtract 198 from 260, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 12:
66 can be fit into 620 9 times, resulting in a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 1642.893939
If we subtract 594 from 620, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 13:
The number 66 fits into 260 3 times, leaving a remainder of 62.
The number 3 becomes the next digit in our result. 
Result so far: 1642.8939393
Deduct 198 from 260 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 14:
When dividing 620 by 66, we get 9 with a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 1642.89393939
Subtracting 594 from 620 leaves us 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.

In conclusion, the division gives 1642.89393939 with a balance of 2.6e-08.