35856566 ÷ 257 
We're looking to find how many times 257 goes into 35856566.

Step 1:
If we divide 3 by 257, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 257

On to step 2:
35 divided by 257 is 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Grab the next digit (8) from the dividend, add it to 35, then carry on: 358 / 257

Step 3:
358 divided by 257 is 1 with a remainder of 101.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 257 from 358 leaves us with 101.
Include the next digit (5) from the dividend after 101, then repeat: 1015 / 257

Advancing to step 4:
The number 257 fits into 1015 3 times, leaving a remainder of 244.
The next digit of our result is 3. 
Result so far: 13.0
Subtract 771 from 1015 to get 244.
Include the next digit (6) from the dividend after 244, then repeat: 2446 / 257

Step 5:
257 can be fit into 2446 9 times, resulting in a remainder of 133.
Use 9 as the next digit of our solution. 
Result so far: 139.0
Subtract 2313 from 2446 to get 133.
Grab the next digit (5) from the dividend, add it to 133, then carry on: 1335 / 257

Let's proceed to step 6:
1335 divided by 257 is 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 1395.0
Subtract 1285 from 1335 to get 50.
Include the next digit (6) from the dividend after 50, then repeat: 506 / 257

On to step 7:
When dividing 506 by 257, we get 1 with a remainder of 249.
Record the quotient 1 as the next digit in the result. 
Result so far: 13951.0
Deduct 257 from 506 and we're left with 249.
Bring next digit (6) of the dividend behind the 249 and repeat the process: 2496 / 257

Advancing to step 8:
257 goes into 2496 9 times with a remainder of 183.
Use 9 as the next digit of our solution. 
Result so far: 139519.0
Subtract 2313 from 2496 to get 183.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1830, and continue the process.

On to step 9:
The number 257 fits into 1830 7 times, leaving a remainder of 31.
The next digit of our result is 7. 
Result so far: 139519.7
The remainder is 31 after subtracting 1799 from 1830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 10:
310 divided by 257 is 1 with a remainder of 53.
Use 1 as the next digit of our solution. 
Result so far: 139519.71
Subtracting 257 from 310 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 11:
530 divided by 257 is 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 139519.712
Subtracting 514 from 530 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
257 goes into 160 0 times with a remainder of 160.
The next digit of our result is 0. 
Result so far: 139519.712
Deduct 0 from 160 and we're left with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Going ahead to step 13:
257 can be fit into 1600 6 times, resulting in a remainder of 58.
The number 6 becomes the next digit in our result. 
Result so far: 139519.71206
Subtract 1542 from 1600 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 14:
257 goes into 580 2 times with a remainder of 66.
Use 2 as the next digit of our solution. 
Result so far: 139519.712062
Deduct 514 from 580 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 15:
257 goes into 660 2 times with a remainder of 146.
Write down 2 as next digit of the result. 
Result so far: 139519.7120622
Deduct 514 from 660 and we're left with 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

After the division, we end up with 139519.7120622 and a remainder of 1.46e-06.