Let's divide 11107172 by 257
We want to figure out the number of times 11107172 can be divided by 257.

On to step 1:
If we divide 1 by 257, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 257

Advancing to step 2:
When dividing 11 by 257, we get 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 257

On to step 3:
257 goes into 111 0 times with a remainder of 111.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 111, we end up with 111.
Take the next digit (0) from the dividend and append it to 111, then repeat: 1110 / 257

Going ahead to step 4:
257 goes into 1110 4 times with a remainder of 82.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 1028 from 1110 to get 82.
Take the next digit (7) from the dividend and append it to 82, then repeat: 827 / 257

Moving on to step 5:
When dividing 827 by 257, we get 3 with a remainder of 56.
Put 3 as the next digit of the answer. 
Result so far: 43.0
Subtract 771 from 827 to get 56.
Grab the next digit (1) from the dividend, add it to 56, then carry on: 561 / 257

On to step 6:
257 goes into 561 2 times with a remainder of 47.
The next digit of our result is 2. 
Result so far: 432.0
If we subtract 514 from 561, we get 47.
Take the next digit (7) from the dividend and append it to 47, then repeat: 477 / 257

Step 7:
257 can be fit into 477 1 times, resulting in a remainder of 220.
Write down 1 as next digit of the result. 
Result so far: 4321.0
The remainder is 220 after subtracting 257 from 477.
Include the next digit (2) from the dividend after 220, then repeat: 2202 / 257

Going ahead to step 8:
If we divide 2202 by 257, we get 8 and a remainder of 146.
Record the quotient 8 as the next digit in the result. 
Result so far: 43218.0
The remainder is 146 after subtracting 2056 from 2202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

Advancing to step 9:
257 goes into 1460 5 times with a remainder of 175.
Record the quotient 5 as the next digit in the result. 
Result so far: 43218.5
Subtracting 1285 from 1460 leaves us with 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

Step 10:
If we divide 1750 by 257, we get 6 and a remainder of 208.
Use 6 as the next digit of our solution. 
Result so far: 43218.56
If we subtract 1542 from 1750, we get 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Let's proceed to step 11:
257 can be fit into 2080 8 times, resulting in a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 43218.568
Subtract 2056 from 2080 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
The number 257 fits into 240 0 times, leaving a remainder of 240.
Write down 0 as next digit of the result. 
Result so far: 43218.568
Subtracting 0 from 240 leaves us with 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Step 13:
If we divide 2400 by 257, we get 9 and a remainder of 87.
Use 9 as the next digit of our solution. 
Result so far: 43218.56809
If we take 2313 away from 2400, we end up with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Step 14:
257 can be fit into 870 3 times, resulting in a remainder of 99.
The number 3 becomes the next digit in our result. 
Result so far: 43218.568093
If we subtract 771 from 870, we get 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 990, and continue the process.

Advancing to step 15:
The number 257 fits into 990 3 times, leaving a remainder of 219.
The next digit of our result is 3. 
Result so far: 43218.5680933
The remainder is 219 after subtracting 771 from 990.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

After the division, we end up with 43218.5680933 and a remainder of 2.19e-06.