We're dividing 11257 by 68 
Our goal is to divide 11257 by 68.

Step 1:
If we divide 1 by 68, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 68

On to step 2:
If we divide 11 by 68, we get 0 and a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Grab the next digit (2) from the dividend, add it to 11, then carry on: 112 / 68

Going ahead to step 3:
68 can be fit into 112 1 times, resulting in a remainder of 44.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 44 after subtracting 68 from 112.
Append the next digit (5) from the dividend to 44 and continue with: 445 / 68

Going ahead to step 4:
445 divided by 68 is 6 with a remainder of 37.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtract 408 from 445 to get 37.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 68

On to step 5:
The number 68 fits into 377 5 times, leaving a remainder of 37.
Record the quotient 5 as the next digit in the result. 
Result so far: 165.0
If we subtract 340 from 377, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 6:
68 goes into 370 5 times with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 165.5
Subtracting 340 from 370 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
If we divide 300 by 68, we get 4 and a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 165.54
If we take 272 away from 300, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
When dividing 280 by 68, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 165.544
Subtract 272 from 280 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 165.544, and the remainder is 0.0008.