We're dividing 42095 by 480 
We want to divide 42095 by 480.

Step 1:
When dividing 4 by 480, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 480

On to step 2:
The number 480 fits into 42 0 times, leaving a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Bring next digit (0) of the dividend behind the 42 and repeat the process: 420 / 480

Advancing to step 3:
480 goes into 420 0 times with a remainder of 420.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 420, we get 420.
Fetch the next digit (9) from the dividend, attach it to 420 and continue: 4209 / 480

Going ahead to step 4:
The number 480 fits into 4209 8 times, leaving a remainder of 369.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 3840 from 4209 to get 369.
Append the next digit (5) from the dividend to 369 and continue with: 3695 / 480

Going ahead to step 5:
If we divide 3695 by 480, we get 7 and a remainder of 335.
Write down 7 as next digit of the result. 
Result so far: 87.0
If we subtract 3360 from 3695, we get 335.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3350, and continue the process.

On to step 6:
480 can be fit into 3350 6 times, resulting in a remainder of 470.
Write down 6 as next digit of the result. 
Result so far: 87.6
Subtract 2880 from 3350 to get 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

Step 7:
4700 divided by 480 is 9 with a remainder of 380.
Use 9 as the next digit of our solution. 
Result so far: 87.69
Subtracting 4320 from 4700 leaves us with 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Moving on to step 8:
480 goes into 3800 7 times with a remainder of 440.
Put 7 as the next digit of the answer. 
Result so far: 87.697
If we subtract 3360 from 3800, we get 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Moving on to step 9:
If we divide 4400 by 480, we get 9 and a remainder of 80.
Put 9 as the next digit of the answer. 
Result so far: 87.6979
The remainder is 80 after subtracting 4320 from 4400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 10:
800 divided by 480 is 1 with a remainder of 320.
Use 1 as the next digit of our solution. 
Result so far: 87.69791
Subtract 480 from 800 to get 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Moving on to step 11:
The number 480 fits into 3200 6 times, leaving a remainder of 320.
Write down 6 as next digit of the result. 
Result so far: 87.697916
Subtract 2880 from 3200 to get 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Advancing to step 12:
480 can be fit into 3200 6 times, resulting in a remainder of 320.
Record the quotient 6 as the next digit in the result. 
Result so far: 87.6979166
Subtracting 2880 from 3200 leaves us with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

In conclusion, the division gives 87.6979166 with a balance of 3.2e-06.