268001 ÷ 35 
Our goal is to divide 268001 by 35.

Advancing to step 1:
The number 35 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 35

Step 2:
26 divided by 35 is 0 with a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Grab the next digit (8) from the dividend, add it to 26, then carry on: 268 / 35

Moving on to step 3:
If we divide 268 by 35, we get 7 and a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 245 from 268 and we're left with 23.
Fetch the next digit (0) from the dividend, attach it to 23 and continue: 230 / 35

Moving on to step 4:
35 can be fit into 230 6 times, resulting in a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 76.0
If we take 210 away from 230, we end up with 20.
Include the next digit (0) from the dividend after 20, then repeat: 200 / 35

Advancing to step 5:
35 goes into 200 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 765.0
If we take 175 away from 200, we end up with 25.
Fetch the next digit (1) from the dividend, attach it to 25 and continue: 251 / 35

Let's proceed to step 6:
35 goes into 251 7 times with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 7657.0
Deduct 245 from 251 and we're left 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 7:
The number 35 fits into 60 1 times, leaving a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 7657.1
Deduct 35 from 60 and we're left with 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 8:
35 goes into 250 7 times with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 7657.17
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.

Moving on to step 9:
50 divided by 35 is 1 with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 7657.171
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.

Step 10:
If we divide 150 by 35, we get 4 and a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 7657.1714
If we take 140 away from 150, we end up 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.

Going ahead to step 11:
The number 35 fits into 100 2 times, leaving a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 7657.17142
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.

On to step 12:
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: 7657.171428
If we take 280 away from 300, we end up 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.

Going ahead to step 13:
The number 35 fits into 200 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 7657.1714285
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 14:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 7657.17142857
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.

Our division results in 7657.17142857 with a remaining 5e-09.