271659 ÷ 35 
Our goal is to divide 271659 by 35.

On to step 1:
If we divide 2 by 35, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 35

Going ahead to step 2:
35 can be fit into 27 0 times, resulting in a remainder of 27.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Bring next digit (1) of the dividend behind the 27 and repeat the process: 271 / 35

Step 3:
If we divide 271 by 35, we get 7 and a remainder of 26.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 26 after subtracting 245 from 271.
Bring next digit (6) of the dividend behind the 26 and repeat the process: 266 / 35

Moving on to step 4:
35 goes into 266 7 times with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 77.0
Deduct 245 from 266 and we're left with 21.
Fetch the next digit (5) from the dividend, attach it to 21 and continue: 215 / 35

Going ahead to step 5:
If we divide 215 by 35, we get 6 and a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 776.0
Subtract 210 from 215 to get 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 35

Let's proceed to step 6:
If we divide 59 by 35, we get 1 and a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 7761.0
The remainder is 24 after subtracting 35 from 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
The number 35 fits into 240 6 times, leaving a remainder of 30.
The next digit of our result is 6. 
Result so far: 7761.6
Subtract 210 from 240 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.

Step 8:
300 divided by 35 is 8 with a remainder of 20.
The next digit of our result is 8. 
Result so far: 7761.68
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 9:
35 goes into 200 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 7761.685
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.

Let's proceed to step 10:
35 goes into 250 7 times with a remainder of 5.
The next digit of our result is 7. 
Result so far: 7761.6857
Subtracting 245 from 250 leaves us 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 11:
The number 35 fits into 50 1 times, leaving a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 7761.68571
The remainder is 15 after subtracting 35 from 50.
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 12:
If we divide 150 by 35, we get 4 and a remainder of 10.
The next digit of our result is 4. 
Result so far: 7761.685714
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 13:
If we divide 100 by 35, we get 2 and a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 7761.6857142
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 14:
If we divide 300 by 35, we get 8 and a remainder of 20.
The next digit of our result is 8. 
Result so far: 7761.68571428
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.

After the division, we end up with 7761.68571428 and a remainder of 2e-08.