88042114 ÷ 743 
Our goal is to divide 88042114 by 743.

Advancing to step 1:
The number 743 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 743

Step 2:
743 goes into 88 0 times with a remainder of 88.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 88, we get 88.
Fetch the next digit (0) from the dividend, attach it to 88 and continue: 880 / 743

Step 3:
When dividing 880 by 743, we get 1 with a remainder of 137.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 743 from 880, we get 137.
Grab the next digit (4) from the dividend, add it to 137, then carry on: 1374 / 743

Going ahead to step 4:
1374 divided by 743 is 1 with a remainder of 631.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtract 743 from 1374 to get 631.
Take the next digit (2) from the dividend and append it to 631, then repeat: 6312 / 743

Let's proceed to step 5:
743 can be fit into 6312 8 times, resulting in a remainder of 368.
Record the quotient 8 as the next digit in the result. 
Result so far: 118.0
If we take 5944 away from 6312, we end up with 368.
Take the next digit (1) from the dividend and append it to 368, then repeat: 3681 / 743

Step 6:
If we divide 3681 by 743, we get 4 and a remainder of 709.
Write down 4 as next digit of the result. 
Result so far: 1184.0
Subtracting 2972 from 3681 leaves us with 709.
Include the next digit (1) from the dividend after 709, then repeat: 7091 / 743

Advancing to step 7:
If we divide 7091 by 743, we get 9 and a remainder of 404.
Write down 9 as next digit of the result. 
Result so far: 11849.0
Subtract 6687 from 7091 to get 404.
Take the next digit (4) from the dividend and append it to 404, then repeat: 4044 / 743

Advancing to step 8:
743 can be fit into 4044 5 times, resulting in a remainder of 329.
The number 5 becomes the next digit in our result. 
Result so far: 118495.0
Subtract 3715 from 4044 to get 329.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3290, and continue the process.

Step 9:
If we divide 3290 by 743, we get 4 and a remainder of 318.
Record the quotient 4 as the next digit in the result. 
Result so far: 118495.4
If we take 2972 away from 3290, we end up with 318.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3180, and continue the process.

Step 10:
743 can be fit into 3180 4 times, resulting in a remainder of 208.
The next digit of our result is 4. 
Result so far: 118495.44
Subtract 2972 from 3180 to 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.

Our division results in 118495.44 with a remaining 0.208.