642103 ÷ 88 
Our goal is to divide 642103 by 88.

On to step 1:
88 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 88

Let's proceed to step 2:
88 goes into 64 0 times with a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Include the next digit (2) from the dividend after 64, then repeat: 642 / 88

Moving on to step 3:
642 divided by 88 is 7 with a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 616 from 642, we get 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 88

Moving on to step 4:
If we divide 261 by 88, we get 2 and a remainder of 85.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
If we subtract 176 from 261, we get 85.
Grab the next digit (0) from the dividend, add it to 85, then carry on: 850 / 88

Advancing to step 5:
If we divide 850 by 88, we get 9 and a remainder of 58.
The number 9 becomes the next digit in our result. 
Result so far: 729.0
Subtracting 792 from 850 leaves us with 58.
Fetch the next digit (3) from the dividend, attach it to 58 and continue: 583 / 88

Moving on to step 6:
The number 88 fits into 583 6 times, leaving a remainder of 55.
Use 6 as the next digit of our solution. 
Result so far: 7296.0
The remainder is 55 after subtracting 528 from 583.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 7:
If we divide 550 by 88, we get 6 and a remainder of 22.
The next digit of our result is 6. 
Result so far: 7296.6
Subtract 528 from 550 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
When dividing 220 by 88, we get 2 with a remainder of 44.
The next digit of our result is 2. 
Result so far: 7296.62
The remainder is 44 after subtracting 176 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 9:
If we divide 440 by 88, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 7296.625
Subtracting 440 from 440 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
0 divided by 88 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 7296.625
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 11:
88 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 7296.625
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 7296.625, and the remainder is 0.0.