We're dividing 111976 by 45 
We want to figure out the number of times 111976 can be divided by 45.

Moving on to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 45

Advancing to step 2:
If we divide 11 by 45, we get 0 and a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 45

On to step 3:
When dividing 111 by 45, we get 2 with a remainder of 21.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 90 away from 111, we end up with 21.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 45

Step 4:
The number 45 fits into 219 4 times, leaving a remainder of 39.
The number 4 becomes the next digit in our result. 
Result so far: 24.0
Subtract 180 from 219 to get 39.
Append the next digit (7) from the dividend to 39 and continue with: 397 / 45

On to step 5:
397 divided by 45 is 8 with a remainder of 37.
Use 8 as the next digit of our solution. 
Result so far: 248.0
Deduct 360 from 397 and we're left with 37.
Include the next digit (6) from the dividend after 37, then repeat: 376 / 45

On to step 6:
If we divide 376 by 45, we get 8 and a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 2488.0
Deduct 360 from 376 and we're left 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.

Advancing to step 7:
The number 45 fits into 160 3 times, leaving a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 2488.3
Deduct 135 from 160 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 2488.35
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
250 divided by 45 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 2488.355
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 2488.355 with a remaining 0.0025.