We're dividing 819103 by 87 
We want to figure out the number of times 819103 can be divided by 87.

On to step 1:
The number 87 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 87

Advancing to step 2:
The number 87 fits into 81 0 times, leaving a remainder of 81.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 81, we end up with 81.
Grab the next digit (9) from the dividend, add it to 81, then carry on: 819 / 87

Let's proceed to step 3:
819 divided by 87 is 9 with a remainder of 36.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtracting 783 from 819 leaves us with 36.
Fetch the next digit (1) from the dividend, attach it to 36 and continue: 361 / 87

Advancing to step 4:
87 can be fit into 361 4 times, resulting in a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 94.0
Deduct 348 from 361 and we're left with 13.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 87

Step 5:
87 goes into 130 1 times with a remainder of 43.
The next digit of our result is 1. 
Result so far: 941.0
If we take 87 away from 130, we end up with 43.
Grab the next digit (3) from the dividend, add it to 43, then carry on: 433 / 87

On to step 6:
433 divided by 87 is 4 with a remainder of 85.
Use 4 as the next digit of our solution. 
Result so far: 9414.0
Subtract 348 from 433 to get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Advancing to step 7:
87 goes into 850 9 times with a remainder of 67.
The next digit of our result is 9. 
Result so far: 9414.9
Subtract 783 from 850 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 8:
When dividing 670 by 87, we get 7 with a remainder of 61.
Use 7 as the next digit of our solution. 
Result so far: 9414.97
Deduct 609 from 670 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 9:
When dividing 610 by 87, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 9414.977
Subtracting 609 from 610 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 9414.977 and a remainder of 0.0001.