We're dividing 638517 by 59 
Let's see how many times 59 fits into 638517.

Going ahead to step 1:
When dividing 6 by 59, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 59

Let's proceed to step 2:
The number 59 fits into 63 1 times, leaving a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 59 from 63 leaves us with 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 59

Going ahead to step 3:
59 goes into 48 0 times with a remainder of 48.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 48 leaves us with 48.
Take the next digit (5) from the dividend and append it to 48, then repeat: 485 / 59

Step 4:
The number 59 fits into 485 8 times, leaving a remainder of 13.
Write down 8 as next digit of the result. 
Result so far: 108.0
Subtract 472 from 485 to get 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 59

Going ahead to step 5:
If we divide 131 by 59, we get 2 and a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 1082.0
Deduct 118 from 131 and we're left with 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 59

On to step 6:
59 goes into 137 2 times with a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 10822.0
The remainder is 19 after subtracting 118 from 137.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
59 goes into 190 3 times with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 10822.3
If we take 177 away from 190, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 8:
If we divide 130 by 59, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 10822.32
The remainder is 12 after subtracting 118 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
59 can be fit into 120 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 10822.322
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.

After the division, we end up with 10822.322 and a remainder of 0.0002.