86419 ÷ 87 
We want to divide 86419 by 87.

Let's proceed to step 1:
The number 87 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 87

Let's proceed to step 2:
86 divided by 87 is 0 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 (4) of the dividend behind the 86 and repeat the process: 864 / 87

Moving on to step 3:
864 divided by 87 is 9 with a remainder of 81.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Deduct 783 from 864 and we're left with 81.
Include the next digit (1) from the dividend after 81, then repeat: 811 / 87

Advancing to step 4:
The number 87 fits into 811 9 times, leaving a remainder of 28.
The number 9 becomes the next digit in our result. 
Result so far: 99.0
If we subtract 783 from 811, we get 28.
Append the next digit (9) from the dividend to 28 and continue with: 289 / 87

Moving on to step 5:
If we divide 289 by 87, we get 3 and a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 993.0
If we take 261 away from 289, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 6:
If we divide 280 by 87, we get 3 and a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 993.3
Subtract 261 from 280 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
If we divide 190 by 87, we get 2 and a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 993.32
If we take 174 away from 190, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
87 goes into 160 1 times with a remainder of 73.
The next digit of our result is 1. 
Result so far: 993.321
Deduct 87 from 160 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 9:
If we divide 730 by 87, we get 8 and a remainder of 34.
The next digit of our result is 8. 
Result so far: 993.3218
If we subtract 696 from 730, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 10:
If we divide 340 by 87, we get 3 and a remainder of 79.
Put 3 as the next digit of the answer. 
Result so far: 993.32183
Subtract 261 from 340 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Going ahead to step 11:
790 divided by 87 is 9 with a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 993.321839
Subtracting 783 from 790 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 12:
When dividing 70 by 87, we get 0 with a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 993.321839
Deduct 0 from 70 and we're left 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:
700 divided by 87 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 993.32183908
If we subtract 696 from 700, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 993.32183908 and a remainder of 4e-09.