We're dividing 626272 by 59 
We're looking to find how many times 59 goes into 626272.

Advancing to step 1:
The number 59 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 59

Moving on to step 2:
59 goes into 62 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 3 after subtracting 59 from 62.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 59

Let's proceed to step 3:
When dividing 36 by 59, we get 0 with a remainder of 36.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 36 after subtracting 0 from 36.
Include the next digit (2) from the dividend after 36, then repeat: 362 / 59

Going ahead to step 4:
59 goes into 362 6 times with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 106.0
Subtract 354 from 362 to get 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 59

Going ahead to step 5:
If we divide 87 by 59, we get 1 and a remainder of 28.
The next digit of our result is 1. 
Result so far: 1061.0
If we subtract 59 from 87, we get 28.
Take the next digit (2) from the dividend and append it to 28, then repeat: 282 / 59

Going ahead to step 6:
If we divide 282 by 59, we get 4 and a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 10614.0
If we subtract 236 from 282, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 7:
59 goes into 460 7 times with a remainder of 47.
Use 7 as the next digit of our solution. 
Result so far: 10614.7
If we subtract 413 from 460, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 8:
470 divided by 59 is 7 with a remainder of 57.
Use 7 as the next digit of our solution. 
Result so far: 10614.77
The remainder is 57 after subtracting 413 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

After the division, we end up with 10614.77 and a remainder of 0.057.