We look at the division of 626306 by 59 
We want to divide 626306 by 59.

Advancing to step 1:
6 divided by 59 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 59

Advancing to step 2:
59 can be fit into 62 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 59 away from 62, we end up with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 59

Let's proceed to step 3:
When dividing 36 by 59, we get 0 with a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 36, we get 36.
Grab the next digit (3) from the dividend, add it to 36, then carry on: 363 / 59

Let's proceed to step 4:
59 can be fit into 363 6 times, resulting in a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
The remainder is 9 after subtracting 354 from 363.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 59

Let's proceed to step 5:
59 can be fit into 90 1 times, resulting in a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 1061.0
Subtract 59 from 90 to get 31.
Include the next digit (6) from the dividend after 31, then repeat: 316 / 59

Going ahead to step 6:
59 goes into 316 5 times with a remainder of 21.
The next digit of our result is 5. 
Result so far: 10615.0
Subtract 295 from 316 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
210 divided by 59 is 3 with a remainder of 33.
Record the quotient 3 as the next digit in the result. 
Result so far: 10615.3
If we subtract 177 from 210, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 8:
When dividing 330 by 59, we get 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 10615.35
Deduct 295 from 330 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 9:
When dividing 350 by 59, we get 5 with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 10615.355
Subtract 295 from 350 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

After the division, we end up with 10615.355 and a remainder of 0.0055.