419300 ÷ 87 
We want to figure out the number of times 419300 can be divided by 87.

Moving on to step 1:
When dividing 4 by 87, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 87

On to step 2:
87 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Bring next digit (9) of the dividend behind the 41 and repeat the process: 419 / 87

On to step 3:
419 divided by 87 is 4 with a remainder of 71.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 71 after subtracting 348 from 419.
Append the next digit (3) from the dividend to 71 and continue with: 713 / 87

Going ahead to step 4:
713 divided by 87 is 8 with a remainder of 17.
The next digit of our result is 8. 
Result so far: 48.0
Subtract 696 from 713 to get 17.
Bring next digit (0) of the dividend behind the 17 and repeat the process: 170 / 87

Step 5:
87 goes into 170 1 times with a remainder of 83.
Record the quotient 1 as the next digit in the result. 
Result so far: 481.0
Subtracting 87 from 170 leaves us with 83.
Bring next digit (0) of the dividend behind the 83 and repeat the process: 830 / 87

Step 6:
The number 87 fits into 830 9 times, leaving a remainder of 47.
Use 9 as the next digit of our solution. 
Result so far: 4819.0
If we take 783 away from 830, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 7:
If we divide 470 by 87, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 4819.5
If we take 435 away from 470, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
The number 87 fits into 350 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 4819.54
If we subtract 348 from 350, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
The number 87 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 4819.54
Deduct 0 from 20 and we're left 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.

Advancing to step 10:
The number 87 fits into 200 2 times, leaving a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 4819.5402
Subtracting 174 from 200 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 11:
87 goes into 260 2 times with a remainder of 86.
Put 2 as the next digit of the answer. 
Result so far: 4819.54022
The remainder is 86 after subtracting 174 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Our division results in 4819.54022 with a remaining 8.6e-05.