We look at the division of 418101 by 88 
We want to figure out the number of times 418101 can be divided by 88.

Let's proceed to step 1:
88 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 88

On to step 2:
41 divided by 88 is 0 with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (8) of the dividend behind the 41 and repeat the process: 418 / 88

On to step 3:
When dividing 418 by 88, we get 4 with a remainder of 66.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 352 from 418 leaves us with 66.
Include the next digit (1) from the dividend after 66, then repeat: 661 / 88

Advancing to step 4:
When dividing 661 by 88, we get 7 with a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 47.0
If we subtract 616 from 661, we get 45.
Append the next digit (0) from the dividend to 45 and continue with: 450 / 88

Step 5:
88 goes into 450 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 475.0
If we take 440 away from 450, we end up with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 88

Going ahead to step 6:
101 divided by 88 is 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 4751.0
The remainder is 13 after subtracting 88 from 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
If we divide 130 by 88, we get 1 and a remainder of 42.
The next digit of our result is 1. 
Result so far: 4751.1
Subtracting 88 from 130 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 8:
88 can be fit into 420 4 times, resulting in a remainder of 68.
The next digit of our result is 4. 
Result so far: 4751.14
If we take 352 away from 420, we end up 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.

Going ahead to step 9:
The number 88 fits into 680 7 times, leaving a remainder of 64.
The number 7 becomes the next digit in our result. 
Result so far: 4751.147
If we take 616 away from 680, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 10:
88 can be fit into 640 7 times, resulting in a remainder of 24.
Record the quotient 7 as the next digit in the result. 
Result so far: 4751.1477
If we subtract 616 from 640, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 4751.1477 with a remainder of 0.00024.