407969 divided by 88 
Our goal is to divide 407969 by 88.

Let's proceed to step 1:
88 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 88

On to step 2:
40 divided by 88 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 40 and we're left with 40.
Grab the next digit (7) from the dividend, add it to 40, then carry on: 407 / 88

Advancing to step 3:
The number 88 fits into 407 4 times, leaving a remainder of 55.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 352 away from 407, we end up with 55.
Fetch the next digit (9) from the dividend, attach it to 55 and continue: 559 / 88

Going ahead to step 4:
When dividing 559 by 88, we get 6 with a remainder of 31.
The next digit of our result is 6. 
Result so far: 46.0
Deduct 528 from 559 and we're left with 31.
Take the next digit (6) from the dividend and append it to 31, then repeat: 316 / 88

Step 5:
When dividing 316 by 88, we get 3 with a remainder of 52.
Record the quotient 3 as the next digit in the result. 
Result so far: 463.0
If we take 264 away from 316, we end up with 52.
Bring next digit (9) of the dividend behind the 52 and repeat the process: 529 / 88

Advancing to step 6:
529 divided by 88 is 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 4636.0
If we subtract 528 from 529, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
The number 88 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 4636.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
88 goes into 100 1 times with a remainder of 12.
The next digit of our result is 1. 
Result so far: 4636.01
The remainder is 12 after subtracting 88 from 100.
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 9:
88 can be fit into 120 1 times, resulting in a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 4636.011
Subtract 88 from 120 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 4636.011 with a remainder of 0.0032.