We're dividing 819630 by 59 
Let's see how many times 59 fits into 819630.

Going ahead to step 1:
59 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 59

Moving on to step 2:
When dividing 81 by 59, we get 1 with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 59 away from 81, we end up with 22.
Take the next digit (9) from the dividend and append it to 22, then repeat: 229 / 59

On to step 3:
229 divided by 59 is 3 with a remainder of 52.
Use 3 as the next digit of our solution. 
Result so far: 13.0
The remainder is 52 after subtracting 177 from 229.
Take the next digit (6) from the dividend and append it to 52, then repeat: 526 / 59

Going ahead to step 4:
The number 59 fits into 526 8 times, leaving a remainder of 54.
The next digit of our result is 8. 
Result so far: 138.0
Subtract 472 from 526 to get 54.
Bring next digit (3) of the dividend behind the 54 and repeat the process: 543 / 59

Step 5:
When dividing 543 by 59, we get 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 1389.0
Subtract 531 from 543 to get 12.
Bring next digit (0) of the dividend behind the 12 and repeat the process: 120 / 59

Step 6:
120 divided by 59 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 13892.0
If we take 118 away from 120, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
20 divided by 59 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 13892.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
59 goes into 200 3 times with a remainder of 23.
Use 3 as the next digit of our solution. 
Result so far: 13892.03
If we subtract 177 from 200, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 9:
If we divide 230 by 59, we get 3 and a remainder of 53.
The next digit of our result is 3. 
Result so far: 13892.033
Subtracting 177 from 230 leaves us 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.

Our division results in 13892.033 with a remaining 0.0053.