We look at the division of 86906771 by 503 
We want to figure out the number of times 86906771 can be divided by 503.

Moving on to step 1:
When dividing 8 by 503, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 503

Let's proceed to step 2:
503 goes into 86 0 times with a remainder of 86.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 86, we get 86.
Bring next digit (9) of the dividend behind the 86 and repeat the process: 869 / 503

Going ahead to step 3:
869 divided by 503 is 1 with a remainder of 366.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 366 after subtracting 503 from 869.
Include the next digit (0) from the dividend after 366, then repeat: 3660 / 503

On to step 4:
When dividing 3660 by 503, we get 7 with a remainder of 139.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
If we subtract 3521 from 3660, we get 139.
Grab the next digit (6) from the dividend, add it to 139, then carry on: 1396 / 503

On to step 5:
503 can be fit into 1396 2 times, resulting in a remainder of 390.
Put 2 as the next digit of the answer. 
Result so far: 172.0
If we take 1006 away from 1396, we end up with 390.
Bring next digit (7) of the dividend behind the 390 and repeat the process: 3907 / 503

Let's proceed to step 6:
503 goes into 3907 7 times with a remainder of 386.
Put 7 as the next digit of the answer. 
Result so far: 1727.0
Subtracting 3521 from 3907 leaves us with 386.
Take the next digit (7) from the dividend and append it to 386, then repeat: 3867 / 503

Moving on to step 7:
The number 503 fits into 3867 7 times, leaving a remainder of 346.
The next digit of our result is 7. 
Result so far: 17277.0
Subtracting 3521 from 3867 leaves us with 346.
Bring next digit (1) of the dividend behind the 346 and repeat the process: 3461 / 503

On to step 8:
If we divide 3461 by 503, we get 6 and a remainder of 443.
Put 6 as the next digit of the answer. 
Result so far: 172776.0
If we subtract 3018 from 3461, we get 443.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4430, and continue the process.

Advancing to step 9:
The number 503 fits into 4430 8 times, leaving a remainder of 406.
The next digit of our result is 8. 
Result so far: 172776.8
If we subtract 4024 from 4430, we get 406.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

On to step 10:
503 can be fit into 4060 8 times, resulting in a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 172776.88
Deduct 4024 from 4060 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final outcome is 172776.88, with a leftover of 0.036.