We're dividing 626291 by 59 
We want to figure out the number of times 626291 can be divided by 59.

Going ahead to step 1:
59 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 59

Advancing to step 2:
The number 59 fits into 62 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 59 from 62, we get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 59

Advancing 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
If we subtract 0 from 36, we get 36.
Take the next digit (2) from the dividend and append it to 36, then repeat: 362 / 59

On to step 4:
If we divide 362 by 59, we get 6 and a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 106.0
The remainder is 8 after subtracting 354 from 362.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 59

Moving on to step 5:
89 divided by 59 is 1 with a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 1061.0
If we subtract 59 from 89, we get 30.
Fetch the next digit (1) from the dividend, attach it to 30 and continue: 301 / 59

Moving on to step 6:
301 divided by 59 is 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 10615.0
Deduct 295 from 301 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
The number 59 fits into 60 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 10615.1
Subtracting 59 from 60 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
The number 59 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 10615.1
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
100 divided by 59 is 1 with a remainder of 41.
Use 1 as the next digit of our solution. 
Result so far: 10615.101
If we subtract 59 from 100, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 10:
59 can be fit into 410 6 times, resulting in a remainder of 56.
Put 6 as the next digit of the answer. 
Result so far: 10615.1016
Subtracting 354 from 410 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 11:
560 divided by 59 is 9 with a remainder of 29.
Use 9 as the next digit of our solution. 
Result so far: 10615.10169
If we take 531 away from 560, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 12:
59 can be fit into 290 4 times, resulting in a remainder of 54.
Use 4 as the next digit of our solution. 
Result so far: 10615.101694
The remainder is 54 after subtracting 236 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 13:
59 can be fit into 540 9 times, resulting in a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 10615.1016949
If we take 531 away from 540, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 14:
The number 59 fits into 90 1 times, leaving a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 10615.10169491
Subtracting 59 from 90 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final outcome is 10615.10169491, with a leftover of 3.1e-08.