We're dividing 298877 by 17 
We want to figure out the number of times 298877 can be divided by 17.

Going ahead to step 1:
When dividing 2 by 17, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 17

On to step 2:
When dividing 29 by 17, we get 1 with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 17 from 29, we get 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 17

Advancing to step 3:
128 divided by 17 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we subtract 119 from 128, we get 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 17

Advancing to step 4:
98 divided by 17 is 5 with a remainder of 13.
The next digit of our result is 5. 
Result so far: 175.0
The remainder is 13 after subtracting 85 from 98.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 17

Moving on to step 5:
17 goes into 137 8 times with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 1758.0
If we take 136 away from 137, we end up with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 17

Going ahead to step 6:
17 goes into 17 1 times with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 17581.0
If we subtract 17 from 17, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
0 divided by 17 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 17581.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
17 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 17581.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 17581.0, and the remainder is 0.0.