We look at the division of 7557 by 74 
We want to figure out the number of times 7557 can be divided by 74.

Moving on to step 1:
The number 74 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 74

Going ahead to step 2:
When dividing 75 by 74, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 74 from 75 leaves us with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 74

On to step 3:
74 goes into 15 0 times with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 15, we get 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 74

Advancing to step 4:
If we divide 157 by 74, we get 2 and a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
Subtract 148 from 157 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 5:
If we divide 90 by 74, we get 1 and a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 102.1
If we take 74 away from 90, we end up 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.

Step 6:
The number 74 fits into 160 2 times, leaving a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 102.12
The remainder is 12 after subtracting 148 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
74 can be fit into 120 1 times, resulting in a remainder of 46.
Write down 1 as next digit of the result. 
Result so far: 102.121
If we take 74 away from 120, we end up 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.

Moving on to step 8:
74 goes into 460 6 times with a remainder of 16.
The next digit of our result is 6. 
Result so far: 102.1216
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.

Moving on to step 9:
74 can be fit into 160 2 times, resulting in a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 102.12162
If we subtract 148 from 160, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
74 can be fit into 120 1 times, resulting in a remainder of 46.
The number 1 becomes the next digit in our result. 
Result so far: 102.121621
If we take 74 away from 120, we end up 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 11:
74 can be fit into 460 6 times, resulting in a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 102.1216216
Deduct 444 from 460 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.

Step 12:
74 goes into 160 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 102.12162162
If we subtract 148 from 160, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 102.12162162 with a remaining 1.2e-08.