We're dividing 431689 by 88 
Let's see how many times 88 fits into 431689.

Moving on to step 1:
88 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 88

Advancing to step 2:
43 divided by 88 is 0 with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Fetch the next digit (1) from the dividend, attach it to 43 and continue: 431 / 88

Let's proceed to step 3:
When dividing 431 by 88, we get 4 with a remainder of 79.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 352 from 431 to get 79.
Grab the next digit (6) from the dividend, add it to 79, then carry on: 796 / 88

Moving on to step 4:
When dividing 796 by 88, we get 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
Deduct 792 from 796 and we're left with 4.
Append the next digit (8) from the dividend to 4 and continue with: 48 / 88

Moving on to step 5:
88 goes into 48 0 times with a remainder of 48.
Record the quotient 0 as the next digit in the result. 
Result so far: 490.0
If we take 0 away from 48, we end up with 48.
Append the next digit (9) from the dividend to 48 and continue with: 489 / 88

Going ahead to step 6:
If we divide 489 by 88, we get 5 and a remainder of 49.
The number 5 becomes the next digit in our result. 
Result so far: 4905.0
Subtracting 440 from 489 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 7:
If we divide 490 by 88, we get 5 and a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 4905.5
If we take 440 away from 490, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
88 can be fit into 500 5 times, resulting in a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 4905.55
Deduct 440 from 500 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The quotient of the division is 4905.55, and the remainder is 0.06.