We're dividing 635038 by 60 
We want to divide 635038 by 60.

Advancing to step 1:
When dividing 6 by 60, 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.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 60

Going ahead to step 2:
When dividing 63 by 60, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 60 from 63 to get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 60

Step 3:
60 can be fit into 35 0 times, resulting in a remainder of 35.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 35 and we're left with 35.
Take the next digit (0) from the dividend and append it to 35, then repeat: 350 / 60

Advancing to step 4:
350 divided by 60 is 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 105.0
Deduct 300 from 350 and we're left with 50.
Include the next digit (3) from the dividend after 50, then repeat: 503 / 60

Advancing to step 5:
If we divide 503 by 60, we get 8 and a remainder of 23.
The number 8 becomes the next digit in our result. 
Result so far: 1058.0
If we subtract 480 from 503, we get 23.
Bring next digit (8) of the dividend behind the 23 and repeat the process: 238 / 60

Moving on to step 6:
The number 60 fits into 238 3 times, leaving a remainder of 58.
Use 3 as the next digit of our solution. 
Result so far: 10583.0
Deduct 180 from 238 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 7:
60 goes into 580 9 times with a remainder of 40.
The next digit of our result is 9. 
Result so far: 10583.9
The remainder is 40 after subtracting 540 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
If we divide 400 by 60, we get 6 and a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 10583.96
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
60 goes into 400 6 times with a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 10583.966
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 10583.966, with a leftover of 0.004.