125598 ÷ 99 
We're looking to find how many times 99 goes into 125598.

On to step 1:
The number 99 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 99

Moving on to step 2:
When dividing 12 by 99, we get 0 with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 99

Moving on to step 3:
When dividing 125 by 99, we get 1 with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 99 from 125 to get 26.
Include the next digit (5) from the dividend after 26, then repeat: 265 / 99

Advancing to step 4:
When dividing 265 by 99, we get 2 with a remainder of 67.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 198 from 265, we get 67.
Fetch the next digit (9) from the dividend, attach it to 67 and continue: 679 / 99

On to step 5:
If we divide 679 by 99, we get 6 and a remainder of 85.
Use 6 as the next digit of our solution. 
Result so far: 126.0
Subtract 594 from 679 to get 85.
Take the next digit (8) from the dividend and append it to 85, then repeat: 858 / 99

Going ahead to step 6:
99 can be fit into 858 8 times, resulting in a remainder of 66.
The number 8 becomes the next digit in our result. 
Result so far: 1268.0
The remainder is 66 after subtracting 792 from 858.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 7:
When dividing 660 by 99, we get 6 with a remainder of 66.
The next digit of our result is 6. 
Result so far: 1268.6
If we subtract 594 from 660, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 8:
The number 99 fits into 660 6 times, leaving a remainder of 66.
Put 6 as the next digit of the answer. 
Result so far: 1268.66
The remainder is 66 after subtracting 594 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The quotient of the division is 1268.66, and the remainder is 0.066.