Let's divide 262641 by 35
Our goal is to divide 262641 by 35.

Advancing to step 1:
When dividing 2 by 35, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 35

Step 2:
35 can be fit into 26 0 times, resulting in a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 26 leaves us with 26.
Bring next digit (2) of the dividend behind the 26 and repeat the process: 262 / 35

Let's proceed to step 3:
35 can be fit into 262 7 times, resulting in a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 245 away from 262, we end up with 17.
Fetch the next digit (6) from the dividend, attach it to 17 and continue: 176 / 35

Advancing to step 4:
35 can be fit into 176 5 times, resulting in a remainder of 1.
The next digit of our result is 5. 
Result so far: 75.0
The remainder is 1 after subtracting 175 from 176.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 35

Advancing to step 5:
The number 35 fits into 14 0 times, leaving a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 750.0
If we subtract 0 from 14, we get 14.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 35

Step 6:
When dividing 141 by 35, we get 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 7504.0
If we subtract 140 from 141, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
If we divide 10 by 35, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 7504.0
Deduct 0 from 10 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.

Step 8:
When dividing 100 by 35, we get 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 7504.02
Subtracting 70 from 100 leaves us 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.

Going ahead to step 9:
35 goes into 300 8 times with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 7504.028
The remainder is 20 after subtracting 280 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 10:
200 divided by 35 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 7504.0285
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.

Let's proceed to step 11:
When dividing 250 by 35, we get 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 7504.02857
Deduct 245 from 250 and we're left 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 12:
If we divide 50 by 35, we get 1 and a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 7504.028571
Deduct 35 from 50 and we're left 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.

Going ahead to step 13:
The number 35 fits into 150 4 times, leaving a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 7504.0285714
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.

Going ahead to step 14:
When dividing 100 by 35, we get 2 with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 7504.02857142
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.

Our division results in 7504.02857142 with a remaining 3e-08.