We're dividing 8598 by 35 
We want to figure out the number of times 8598 can be divided by 35.

Advancing to step 1:
If we divide 8 by 35, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 35

On to step 2:
35 goes into 85 2 times with a remainder of 15.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 15 after subtracting 70 from 85.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 35

Going ahead to step 3:
159 divided by 35 is 4 with a remainder of 19.
Write down 4 as next digit of the result. 
Result so far: 24.0
Subtract 140 from 159 to get 19.
Grab the next digit (8) from the dividend, add it to 19, then carry on: 198 / 35

Moving on to step 4:
If we divide 198 by 35, we get 5 and a remainder of 23.
Use 5 as the next digit of our solution. 
Result so far: 245.0
If we subtract 175 from 198, 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 5:
230 divided by 35 is 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 245.6
Subtract 210 from 230 to 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 6:
When dividing 200 by 35, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 245.65
The remainder is 25 after subtracting 175 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 7:
35 goes into 250 7 times with a remainder of 5.
The next digit of our result is 7. 
Result so far: 245.657
If we subtract 245 from 250, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
35 goes into 50 1 times with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 245.6571
Subtract 35 from 50 to 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.

Step 9:
35 can be fit into 150 4 times, resulting in a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 245.65714
Deduct 140 from 150 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
The number 35 fits into 100 2 times, leaving a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 245.657142
If we take 70 away from 100, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 11:
300 divided by 35 is 8 with a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 245.6571428
Deduct 280 from 300 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.

Let's proceed to step 12:
When dividing 200 by 35, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 245.65714285
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 quotient of the division is 245.65714285, and the remainder is 2.5e-08.