We're dividing 9516636 by 257 
We're looking to find how many times 257 goes into 9516636.

On to step 1:
If we divide 9 by 257, we get 0 and a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 257

Step 2:
If we divide 95 by 257, we get 0 and a remainder of 95.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 95 leaves us with 95.
Grab the next digit (1) from the dividend, add it to 95, then carry on: 951 / 257

Let's proceed to step 3:
257 can be fit into 951 3 times, resulting in a remainder of 180.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 771 from 951 to get 180.
Take the next digit (6) from the dividend and append it to 180, then repeat: 1806 / 257

Let's proceed to step 4:
257 can be fit into 1806 7 times, resulting in a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 37.0
Subtract 1799 from 1806 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 257

Advancing to step 5:
257 goes into 76 0 times with a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 370.0
The remainder is 76 after subtracting 0 from 76.
Grab the next digit (3) from the dividend, add it to 76, then carry on: 763 / 257

Going ahead to step 6:
257 goes into 763 2 times with a remainder of 249.
Record the quotient 2 as the next digit in the result. 
Result so far: 3702.0
Deduct 514 from 763 and we're left with 249.
Append the next digit (6) from the dividend to 249 and continue with: 2496 / 257

Moving on to step 7:
2496 divided by 257 is 9 with a remainder of 183.
Put 9 as the next digit of the answer. 
Result so far: 37029.0
Subtracting 2313 from 2496 leaves us with 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 8:
When dividing 1830 by 257, we get 7 with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 37029.7
If we subtract 1799 from 1830, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 9:
257 goes into 310 1 times with a remainder of 53.
Record the quotient 1 as the next digit in the result. 
Result so far: 37029.71
Deduct 257 from 310 and we're left 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.

Moving on to step 10:
530 divided by 257 is 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 37029.712
If we subtract 514 from 530, we get 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 11:
The number 257 fits into 160 0 times, leaving a remainder of 160.
Put 0 as the next digit of the answer. 
Result so far: 37029.712
Subtract 0 from 160 to get 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Advancing to step 12:
1600 divided by 257 is 6 with a remainder of 58.
Put 6 as the next digit of the answer. 
Result so far: 37029.71206
Deduct 1542 from 1600 and we're left with 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 13:
257 goes into 580 2 times with a remainder of 66.
Use 2 as the next digit of our solution. 
Result so far: 37029.712062
Subtracting 514 from 580 leaves us 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.

Going ahead to step 14:
257 can be fit into 660 2 times, resulting in a remainder of 146.
Use 2 as the next digit of our solution. 
Result so far: 37029.7120622
Subtract 514 from 660 to get 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

The final result is 37029.7120622 with a remainder of 1.46e-06.