Let's divide 17121 by 35
Our goal is to divide 17121 by 35.

On to step 1:
The number 35 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 35

Step 2:
When dividing 17 by 35, we get 0 with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Fetch the next digit (1) from the dividend, attach it to 17 and continue: 171 / 35

Step 3:
35 goes into 171 4 times with a remainder of 31.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 140 from 171, we get 31.
Fetch the next digit (2) from the dividend, attach it to 31 and continue: 312 / 35

Step 4:
312 divided by 35 is 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 48.0
If we subtract 280 from 312, we get 32.
Take the next digit (1) from the dividend and append it to 32, then repeat: 321 / 35

Let's proceed to step 5:
The number 35 fits into 321 9 times, leaving a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 489.0
If we take 315 away from 321, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 6:
The number 35 fits into 60 1 times, leaving a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 489.1
The remainder is 25 after subtracting 35 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 7:
35 goes into 250 7 times with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 489.17
If we take 245 away from 250, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
35 can be fit into 50 1 times, resulting in a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 489.171
If we take 35 away from 50, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
The number 35 fits into 150 4 times, leaving a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 489.1714
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
100 divided by 35 is 2 with a remainder of 30.
The next digit of our result is 2. 
Result so far: 489.17142
Deduct 70 from 100 and we're left 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.

Let's proceed to step 11:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 489.171428
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.

Step 12:
When dividing 200 by 35, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 489.1714285
Subtract 175 from 200 to 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.

On to step 13:
35 goes into 250 7 times with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 489.17142857
If we take 245 away from 250, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 489.17142857 with a balance of 5e-09.