86478106 ÷ 501 
We're looking to find how many times 501 goes into 86478106.

Going ahead to step 1:
When dividing 8 by 501, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 501

On to step 2:
When dividing 86 by 501, we get 0 with a remainder of 86.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 86 after subtracting 0 from 86.
Take the next digit (4) from the dividend and append it to 86, then repeat: 864 / 501

Let's proceed to step 3:
864 divided by 501 is 1 with a remainder of 363.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 363 after subtracting 501 from 864.
Include the next digit (7) from the dividend after 363, then repeat: 3637 / 501

Going ahead to step 4:
501 goes into 3637 7 times with a remainder of 130.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtracting 3507 from 3637 leaves us with 130.
Grab the next digit (8) from the dividend, add it to 130, then carry on: 1308 / 501

Moving on to step 5:
1308 divided by 501 is 2 with a remainder of 306.
The next digit of our result is 2. 
Result so far: 172.0
If we take 1002 away from 1308, we end up with 306.
Take the next digit (1) from the dividend and append it to 306, then repeat: 3061 / 501

Advancing to step 6:
When dividing 3061 by 501, we get 6 with a remainder of 55.
The number 6 becomes the next digit in our result. 
Result so far: 1726.0
If we subtract 3006 from 3061, we get 55.
Fetch the next digit (0) from the dividend, attach it to 55 and continue: 550 / 501

Let's proceed to step 7:
When dividing 550 by 501, we get 1 with a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 17261.0
If we take 501 away from 550, we end up with 49.
Grab the next digit (6) from the dividend, add it to 49, then carry on: 496 / 501

Advancing to step 8:
When dividing 496 by 501, we get 0 with a remainder of 496.
Record the quotient 0 as the next digit in the result. 
Result so far: 172610.0
Subtract 0 from 496 to get 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

Advancing to step 9:
501 goes into 4960 9 times with a remainder of 451.
Use 9 as the next digit of our solution. 
Result so far: 172610.9
Deduct 4509 from 4960 and we're left with 451.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4510, and continue the process.

Moving on to step 10:
The number 501 fits into 4510 9 times, leaving a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 172610.99
If we subtract 4509 from 4510, 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.

Our division results in 172610.99 with a remaining 0.001.