We look at the division of 480626 by 59 
We're looking to find how many times 59 goes into 480626.

On to step 1:
59 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 59

Step 2:
59 can be fit into 48 0 times, resulting in a remainder of 48.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 48 after subtracting 0 from 48.
Bring next digit (0) of the dividend behind the 48 and repeat the process: 480 / 59

Advancing to step 3:
The number 59 fits into 480 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 472 from 480 leaves us with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 59

Let's proceed to step 4:
86 divided by 59 is 1 with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 81.0
The remainder is 27 after subtracting 59 from 86.
Fetch the next digit (2) from the dividend, attach it to 27 and continue: 272 / 59

Step 5:
272 divided by 59 is 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 814.0
If we take 236 away from 272, we end up with 36.
Bring next digit (6) of the dividend behind the 36 and repeat the process: 366 / 59

Step 6:
The number 59 fits into 366 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 8146.0
Deduct 354 from 366 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
120 divided by 59 is 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 8146.2
If we subtract 118 from 120, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
When dividing 20 by 59, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 8146.2
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
59 can be fit into 200 3 times, resulting in a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 8146.203
If we take 177 away from 200, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 10:
If we divide 230 by 59, we get 3 and a remainder of 53.
Record the quotient 3 as the next digit in the result. 
Result so far: 8146.2033
If we take 177 away from 230, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

The quotient of the division is 8146.2033, and the remainder is 0.00053.