We're dividing 35897163 by 257 
We want to divide 35897163 by 257.

Step 1:
257 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 257

Advancing to step 2:
When dividing 35 by 257, we get 0 with a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Take the next digit (8) from the dividend and append it to 35, then repeat: 358 / 257

On to step 3:
When dividing 358 by 257, we get 1 with a remainder of 101.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 257 from 358 leaves us with 101.
Fetch the next digit (9) from the dividend, attach it to 101 and continue: 1019 / 257

Going ahead to step 4:
257 can be fit into 1019 3 times, resulting in a remainder of 248.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 771 from 1019, we get 248.
Take the next digit (7) from the dividend and append it to 248, then repeat: 2487 / 257

Step 5:
When dividing 2487 by 257, we get 9 with a remainder of 174.
The number 9 becomes the next digit in our result. 
Result so far: 139.0
If we subtract 2313 from 2487, we get 174.
Take the next digit (1) from the dividend and append it to 174, then repeat: 1741 / 257

On to step 6:
257 can be fit into 1741 6 times, resulting in a remainder of 199.
Put 6 as the next digit of the answer. 
Result so far: 1396.0
Deduct 1542 from 1741 and we're left with 199.
Append the next digit (6) from the dividend to 199 and continue with: 1996 / 257

Moving on to step 7:
257 can be fit into 1996 7 times, resulting in a remainder of 197.
Record the quotient 7 as the next digit in the result. 
Result so far: 13967.0
Subtracting 1799 from 1996 leaves us with 197.
Bring next digit (3) of the dividend behind the 197 and repeat the process: 1973 / 257

On to step 8:
257 goes into 1973 7 times with a remainder of 174.
Put 7 as the next digit of the answer. 
Result so far: 139677.0
Subtracting 1799 from 1973 leaves us with 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

Step 9:
257 can be fit into 1740 6 times, resulting in a remainder of 198.
Put 6 as the next digit of the answer. 
Result so far: 139677.6
Subtracting 1542 from 1740 leaves us with 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

Going ahead to step 10:
If we divide 1980 by 257, we get 7 and a remainder of 181.
The number 7 becomes the next digit in our result. 
Result so far: 139677.67
If we subtract 1799 from 1980, we get 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

Moving on to step 11:
If we divide 1810 by 257, we get 7 and a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 139677.677
If we take 1799 away from 1810, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final outcome is 139677.677, with a leftover of 0.0011.