We're dividing 125722 by 59 
We want to figure out the number of times 125722 can be divided by 59.

Going ahead to step 1:
The number 59 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 59

On to step 2:
12 divided by 59 is 0 with a remainder of 12.
The number 0 becomes the next digit in our result. 
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 / 59

Step 3:
59 goes into 125 2 times with a remainder of 7.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 7 after subtracting 118 from 125.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 59

Let's proceed to step 4:
59 can be fit into 77 1 times, resulting in a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 21.0
Subtracting 59 from 77 leaves us with 18.
Grab the next digit (2) from the dividend, add it to 18, then carry on: 182 / 59

On to step 5:
If we divide 182 by 59, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 213.0
Subtract 177 from 182 to get 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 59

Moving on to step 6:
52 divided by 59 is 0 with a remainder of 52.
Write down 0 as next digit of the result. 
Result so far: 2130.0
Subtracting 0 from 52 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 7:
When dividing 520 by 59, we get 8 with a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 2130.8
Deduct 472 from 520 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 8:
59 can be fit into 480 8 times, resulting in a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 2130.88
The remainder is 8 after subtracting 472 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 2130.88, and the remainder is 0.008.