Let's divide 125668 by 83
Our goal is to divide 125668 by 83.

Step 1:
When dividing 1 by 83, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 83

Step 2:
If we divide 12 by 83, we get 0 and a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 83

Moving on to step 3:
125 divided by 83 is 1 with a remainder of 42.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 42 after subtracting 83 from 125.
Take the next digit (6) from the dividend and append it to 42, then repeat: 426 / 83

On to step 4:
426 divided by 83 is 5 with a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 11 after subtracting 415 from 426.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 83

Going ahead to step 5:
83 can be fit into 116 1 times, resulting in a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 151.0
The remainder is 33 after subtracting 83 from 116.
Include the next digit (8) from the dividend after 33, then repeat: 338 / 83

Step 6:
The number 83 fits into 338 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 1514.0
Subtract 332 from 338 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
If we divide 60 by 83, we get 0 and a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 1514.0
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 8:
When dividing 600 by 83, we get 7 with a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 1514.07
If we take 581 away from 600, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 9:
When dividing 190 by 83, we get 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 1514.072
If we take 166 away from 190, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
When dividing 240 by 83, we get 2 with a remainder of 74.
Record the quotient 2 as the next digit in the result. 
Result so far: 1514.0722
If we subtract 166 from 240, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The quotient of the division is 1514.0722, and the remainder is 0.00074.