We look at the division of 11634172 by 257 
Our goal is to divide 11634172 by 257.

Step 1:
If we divide 1 by 257, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 257

On to step 2:
When dividing 11 by 257, we get 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 257

Let's proceed to step 3:
257 can be fit into 116 0 times, resulting in a remainder of 116.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 116 and we're left with 116.
Append the next digit (3) from the dividend to 116 and continue with: 1163 / 257

Going ahead to step 4:
257 can be fit into 1163 4 times, resulting in a remainder of 135.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 135 after subtracting 1028 from 1163.
Bring next digit (4) of the dividend behind the 135 and repeat the process: 1354 / 257

Going ahead to step 5:
If we divide 1354 by 257, we get 5 and a remainder of 69.
The next digit of our result is 5. 
Result so far: 45.0
If we subtract 1285 from 1354, we get 69.
Include the next digit (1) from the dividend after 69, then repeat: 691 / 257

Let's proceed to step 6:
691 divided by 257 is 2 with a remainder of 177.
Write down 2 as next digit of the result. 
Result so far: 452.0
If we subtract 514 from 691, we get 177.
Include the next digit (7) from the dividend after 177, then repeat: 1777 / 257

Let's proceed to step 7:
If we divide 1777 by 257, we get 6 and a remainder of 235.
Write down 6 as next digit of the result. 
Result so far: 4526.0
Deduct 1542 from 1777 and we're left with 235.
Append the next digit (2) from the dividend to 235 and continue with: 2352 / 257

Let's proceed to step 8:
257 can be fit into 2352 9 times, resulting in a remainder of 39.
Use 9 as the next digit of our solution. 
Result so far: 45269.0
Subtract 2313 from 2352 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 9:
When dividing 390 by 257, we get 1 with a remainder of 133.
Record the quotient 1 as the next digit in the result. 
Result so far: 45269.1
Subtract 257 from 390 to get 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

Going ahead to step 10:
When dividing 1330 by 257, we get 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 45269.15
If we take 1285 away from 1330, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 11:
257 can be fit into 450 1 times, resulting in a remainder of 193.
Write down 1 as next digit of the result. 
Result so far: 45269.151
The remainder is 193 after subtracting 257 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1930, and continue the process.

Let's proceed to step 12:
If we divide 1930 by 257, we get 7 and a remainder of 131.
Use 7 as the next digit of our solution. 
Result so far: 45269.1517
If we subtract 1799 from 1930, we get 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

Let's proceed to step 13:
When dividing 1310 by 257, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 45269.15175
Subtract 1285 from 1310 to 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 14:
The number 257 fits into 250 0 times, leaving a remainder of 250.
The next digit of our result is 0. 
Result so far: 45269.15175
If we take 0 away from 250, we end up with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

On to step 15:
257 can be fit into 2500 9 times, resulting in a remainder of 187.
The next digit of our result is 9. 
Result so far: 45269.1517509
Subtract 2313 from 2500 to get 187.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1870, and continue the process.

Advancing to step 16:
257 can be fit into 1870 7 times, resulting in a remainder of 71.
The next digit of our result is 7. 
Result so far: 45269.15175097
Subtracting 1799 from 1870 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

The final result is 45269.15175097 with a remainder of 7.1e-08.