Let's divide 1503877 by 825
We want to figure out the number of times 1503877 can be divided by 825.

On to step 1:
The number 825 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 825

On to step 2:
825 can be fit into 15 0 times, resulting in a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Grab the next digit (0) from the dividend, add it to 15, then carry on: 150 / 825

Advancing to step 3:
When dividing 150 by 825, we get 0 with a remainder of 150.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 150 leaves us with 150.
Bring next digit (3) of the dividend behind the 150 and repeat the process: 1503 / 825

On to step 4:
If we divide 1503 by 825, we get 1 and a remainder of 678.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 825 from 1503 leaves us with 678.
Fetch the next digit (8) from the dividend, attach it to 678 and continue: 6788 / 825

Moving on to step 5:
The number 825 fits into 6788 8 times, leaving a remainder of 188.
The next digit of our result is 8. 
Result so far: 18.0
Subtracting 6600 from 6788 leaves us with 188.
Grab the next digit (7) from the dividend, add it to 188, then carry on: 1887 / 825

Let's proceed to step 6:
825 goes into 1887 2 times with a remainder of 237.
Put 2 as the next digit of the answer. 
Result so far: 182.0
If we take 1650 away from 1887, we end up with 237.
Take the next digit (7) from the dividend and append it to 237, then repeat: 2377 / 825

Moving on to step 7:
When dividing 2377 by 825, we get 2 with a remainder of 727.
Write down 2 as next digit of the result. 
Result so far: 1822.0
If we take 1650 away from 2377, we end up with 727.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7270, and continue the process.

Going ahead to step 8:
When dividing 7270 by 825, we get 8 with a remainder of 670.
Record the quotient 8 as the next digit in the result. 
Result so far: 1822.8
Deduct 6600 from 7270 and we're left with 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6700, and continue the process.

Step 9:
If we divide 6700 by 825, we get 8 and a remainder of 100.
Record the quotient 8 as the next digit in the result. 
Result so far: 1822.88
Subtracting 6600 from 6700 leaves us with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

The final result is 1822.88 with a remainder of 0.1.