407102 ÷ 80 
We're looking to find how many times 80 goes into 407102.

Going ahead to step 1:
4 divided by 80 is 0 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.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 80

Advancing to step 2:
40 divided by 80 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 40 leaves us with 40.
Append the next digit (7) from the dividend to 40 and continue with: 407 / 80

Advancing to step 3:
The number 80 fits into 407 5 times, leaving a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 400 away from 407, we end up with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 80

Advancing to step 4:
80 can be fit into 71 0 times, resulting in a remainder of 71.
The next digit of our result is 0. 
Result so far: 50.0
If we subtract 0 from 71, we get 71.
Include the next digit (0) from the dividend after 71, then repeat: 710 / 80

Advancing to step 5:
80 goes into 710 8 times with a remainder of 70.
The next digit of our result is 8. 
Result so far: 508.0
Deduct 640 from 710 and we're left with 70.
Append the next digit (2) from the dividend to 70 and continue with: 702 / 80

Moving on to step 6:
702 divided by 80 is 8 with a remainder of 62.
The next digit of our result is 8. 
Result so far: 5088.0
If we take 640 away from 702, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 7:
If we divide 620 by 80, we get 7 and a remainder of 60.
Write down 7 as next digit of the result. 
Result so far: 5088.7
Deduct 560 from 620 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.

Step 8:
When dividing 600 by 80, we get 7 with a remainder of 40.
Write down 7 as next digit of the result. 
Result so far: 5088.77
Deduct 560 from 600 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 5088.77 with a remainder of 0.04.