10426 ÷ 88 
Our goal is to divide 10426 by 88.

Going ahead to step 1:
88 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 88

Going ahead to step 2:
88 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 88

Advancing to step 3:
88 can be fit into 104 1 times, resulting in a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 88 from 104 and we're left with 16.
Take the next digit (2) from the dividend and append it to 16, then repeat: 162 / 88

Moving on to step 4:
The number 88 fits into 162 1 times, leaving a remainder of 74.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 88 from 162 leaves us with 74.
Include the next digit (6) from the dividend after 74, then repeat: 746 / 88

Moving on to step 5:
746 divided by 88 is 8 with a remainder of 42.
The next digit of our result is 8. 
Result so far: 118.0
The remainder is 42 after subtracting 704 from 746.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 6:
The number 88 fits into 420 4 times, leaving a remainder of 68.
The next digit of our result is 4. 
Result so far: 118.4
Subtracting 352 from 420 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 7:
88 goes into 680 7 times with a remainder of 64.
Write down 7 as next digit of the result. 
Result so far: 118.47
The remainder is 64 after subtracting 616 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 8:
When dividing 640 by 88, we get 7 with a remainder of 24.
Write down 7 as next digit of the result. 
Result so far: 118.477
Subtracting 616 from 640 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Our division results in 118.477 with a remaining 0.0024.