406 divided by 88 
We're looking to find how many times 88 goes into 406.

Going ahead to step 1:
88 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 88

Moving on to step 2:
If we divide 40 by 88, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 40, we get 40.
Bring next digit (6) of the dividend behind the 40 and repeat the process: 406 / 88

Going ahead to step 3:
When dividing 406 by 88, we get 4 with a remainder of 54.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 352 from 406, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 4:
When dividing 540 by 88, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 4.6
If we subtract 528 from 540, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 5:
The number 88 fits into 120 1 times, leaving a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 4.61
If we take 88 away from 120, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 6:
When dividing 320 by 88, we get 3 with a remainder of 56.
Put 3 as the next digit of the answer. 
Result so far: 4.613
If we subtract 264 from 320, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 7:
560 divided by 88 is 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 4.6136
The remainder is 32 after subtracting 528 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
If we divide 320 by 88, we get 3 and a remainder of 56.
The number 3 becomes the next digit in our result. 
Result so far: 4.61363
Subtract 264 from 320 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 9:
560 divided by 88 is 6 with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 4.613636
The remainder is 32 after subtracting 528 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
When dividing 320 by 88, we get 3 with a remainder of 56.
The number 3 becomes the next digit in our result. 
Result so far: 4.6136363
Subtract 264 from 320 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 11:
88 goes into 560 6 times with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 4.61363636
If we take 528 away from 560, we end up with 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 4.61363636 with a remainder of 3.2e-08.