87819 ÷ 85 
Our goal is to divide 87819 by 85.

Let's proceed to step 1:
85 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 85

Step 2:
When dividing 87 by 85, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 85 from 87, we get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 85

Going ahead to step 3:
When dividing 28 by 85, we get 0 with a remainder of 28.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 28, we get 28.
Take the next digit (1) from the dividend and append it to 28, then repeat: 281 / 85

Advancing to step 4:
281 divided by 85 is 3 with a remainder of 26.
The number 3 becomes the next digit in our result. 
Result so far: 103.0
If we take 255 away from 281, we end up with 26.
Take the next digit (9) from the dividend and append it to 26, then repeat: 269 / 85

Moving on to step 5:
269 divided by 85 is 3 with a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 1033.0
The remainder is 14 after subtracting 255 from 269.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 6:
When dividing 140 by 85, we get 1 with a remainder of 55.
The next digit of our result is 1. 
Result so far: 1033.1
Deduct 85 from 140 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 7:
If we divide 550 by 85, we get 6 and a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 1033.16
Deduct 510 from 550 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
85 can be fit into 400 4 times, resulting in a remainder of 60.
Write down 4 as next digit of the result. 
Result so far: 1033.164
If we subtract 340 from 400, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 9:
When dividing 600 by 85, we get 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 1033.1647
If we take 595 away from 600, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
When dividing 50 by 85, we get 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 1033.1647
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 11:
85 goes into 500 5 times with a remainder of 75.
The next digit of our result is 5. 
Result so far: 1033.164705
Subtract 425 from 500 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 12:
If we divide 750 by 85, we get 8 and a remainder of 70.
Put 8 as the next digit of the answer. 
Result so far: 1033.1647058
If we take 680 away from 750, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 13:
85 can be fit into 700 8 times, resulting in a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 1033.16470588
Subtracting 680 from 700 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 1033.16470588 and a remainder of 2e-08.