We're dividing 82257810 by 803 
We want to divide 82257810 by 803.

Advancing to step 1:
803 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 803

On to step 2:
803 goes into 82 0 times with a remainder of 82.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 82 and we're left with 82.
Bring next digit (2) of the dividend behind the 82 and repeat the process: 822 / 803

Moving on to step 3:
When dividing 822 by 803, we get 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 803 away from 822, we end up with 19.
Include the next digit (5) from the dividend after 19, then repeat: 195 / 803

Moving on to step 4:
When dividing 195 by 803, we get 0 with a remainder of 195.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 195 to get 195.
Append the next digit (7) from the dividend to 195 and continue with: 1957 / 803

Advancing to step 5:
The number 803 fits into 1957 2 times, leaving a remainder of 351.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
Subtract 1606 from 1957 to get 351.
Take the next digit (8) from the dividend and append it to 351, then repeat: 3518 / 803

Let's proceed to step 6:
803 can be fit into 3518 4 times, resulting in a remainder of 306.
The next digit of our result is 4. 
Result so far: 1024.0
Subtracting 3212 from 3518 leaves us with 306.
Grab the next digit (1) from the dividend, add it to 306, then carry on: 3061 / 803

Let's proceed to step 7:
803 goes into 3061 3 times with a remainder of 652.
The number 3 becomes the next digit in our result. 
Result so far: 10243.0
If we subtract 2409 from 3061, we get 652.
Take the next digit (0) from the dividend and append it to 652, then repeat: 6520 / 803

Going ahead to step 8:
If we divide 6520 by 803, we get 8 and a remainder of 96.
The number 8 becomes the next digit in our result. 
Result so far: 102438.0
Subtracting 6424 from 6520 leaves us with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Advancing to step 9:
When dividing 960 by 803, we get 1 with a remainder of 157.
Write down 1 as next digit of the result. 
Result so far: 102438.1
If we take 803 away from 960, we end up with 157.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1570, and continue the process.

Let's proceed to step 10:
1570 divided by 803 is 1 with a remainder of 767.
The next digit of our result is 1. 
Result so far: 102438.11
Subtract 803 from 1570 to get 767.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7670, and continue the process.

The final outcome is 102438.11, with a leftover of 0.767.