We look at the division of 598824 by 35 
Our goal is to divide 598824 by 35.

Advancing to step 1:
The number 35 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 35

Advancing to step 2:
If we divide 59 by 35, we get 1 and a remainder of 24.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 35 from 59 to get 24.
Fetch the next digit (8) from the dividend, attach it to 24 and continue: 248 / 35

On to step 3:
248 divided by 35 is 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 245 from 248 and we're left with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 35

On to step 4:
The number 35 fits into 38 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 171.0
Deduct 35 from 38 and we're left with 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 35

Advancing to step 5:
35 goes into 32 0 times with a remainder of 32.
Use 0 as the next digit of our solution. 
Result so far: 1710.0
If we subtract 0 from 32, we get 32.
Append the next digit (4) from the dividend to 32 and continue with: 324 / 35

Moving on to step 6:
35 goes into 324 9 times with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 17109.0
Deduct 315 from 324 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
The number 35 fits into 90 2 times, leaving a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 17109.2
The remainder is 20 after subtracting 70 from 90.
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 8:
200 divided by 35 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 17109.25
If we subtract 175 from 200, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
If we divide 250 by 35, we get 7 and a remainder of 5.
The next digit of our result is 7. 
Result so far: 17109.257
The remainder is 5 after subtracting 245 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
The number 35 fits into 50 1 times, leaving a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 17109.2571
If we subtract 35 from 50, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 11:
If we divide 150 by 35, we get 4 and a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 17109.25714
Subtract 140 from 150 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
35 can be fit into 100 2 times, resulting in a remainder of 30.
The next digit of our result is 2. 
Result so far: 17109.257142
Subtract 70 from 100 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
35 goes into 300 8 times with a remainder of 20.
The next digit of our result is 8. 
Result so far: 17109.2571428
If we subtract 280 from 300, 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.

On to step 14:
200 divided by 35 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 17109.25714285
If we subtract 175 from 200, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 17109.25714285, with a leftover of 2.5e-08.