257661 divided by 35 
Our goal is to divide 257661 by 35.

Let's proceed to step 1:
35 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 35

Going ahead to step 2:
35 goes into 25 0 times with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Take the next digit (7) from the dividend and append it to 25, then repeat: 257 / 35

Step 3:
When dividing 257 by 35, we get 7 with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 245 from 257 and we're left with 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 35

Going ahead to step 4:
35 goes into 126 3 times with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 73.0
Deduct 105 from 126 and we're left with 21.
Bring next digit (6) of the dividend behind the 21 and repeat the process: 216 / 35

Going ahead to step 5:
35 goes into 216 6 times with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 736.0
Subtracting 210 from 216 leaves us with 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 35

Going ahead to step 6:
35 can be fit into 61 1 times, resulting in a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 7361.0
Deduct 35 from 61 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 7:
35 can be fit into 260 7 times, resulting in a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 7361.7
If we take 245 away from 260, 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 8:
The number 35 fits into 150 4 times, leaving a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 7361.74
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.

Advancing to step 9:
100 divided by 35 is 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 7361.742
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.

Advancing to step 10:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 7361.7428
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.

Advancing to step 11:
200 divided by 35 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 7361.74285
Subtracting 175 from 200 leaves us 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.

Let's proceed to step 12:
The number 35 fits into 250 7 times, leaving a remainder of 5.
The next digit of our result is 7. 
Result so far: 7361.742857
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 13:
35 goes into 50 1 times with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 7361.7428571
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.

Going ahead to step 14:
When dividing 150 by 35, we get 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 7361.74285714
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.

The quotient of the division is 7361.74285714, and the remainder is 1e-08.