107127 ÷ 74 
We want to figure out the number of times 107127 can be divided by 74.

Advancing to step 1:
74 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 74

On to step 2:
The number 74 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 74

Moving on to step 3:
74 goes into 107 1 times with a remainder of 33.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 74 from 107, we get 33.
Fetch the next digit (1) from the dividend, attach it to 33 and continue: 331 / 74

Advancing to step 4:
74 goes into 331 4 times with a remainder of 35.
Write down 4 as next digit of the result. 
Result so far: 14.0
Deduct 296 from 331 and we're left with 35.
Bring next digit (2) of the dividend behind the 35 and repeat the process: 352 / 74

Let's proceed to step 5:
74 can be fit into 352 4 times, resulting in a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 144.0
Deduct 296 from 352 and we're left with 56.
Bring next digit (7) of the dividend behind the 56 and repeat the process: 567 / 74

On to step 6:
If we divide 567 by 74, we get 7 and a remainder of 49.
Record the quotient 7 as the next digit in the result. 
Result so far: 1447.0
The remainder is 49 after subtracting 518 from 567.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 7:
74 can be fit into 490 6 times, resulting in a remainder of 46.
Record the quotient 6 as the next digit in the result. 
Result so far: 1447.6
Deduct 444 from 490 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 8:
460 divided by 74 is 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 1447.66
Subtracting 444 from 460 leaves us 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.

The final outcome is 1447.66, with a leftover of 0.016.