We look at the division of 477306 by 87 
We want to divide 477306 by 87.

Step 1:
4 divided by 87 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 87

On to step 2:
When dividing 47 by 87, we get 0 with a remainder of 47.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 47 after subtracting 0 from 47.
Grab the next digit (7) from the dividend, add it to 47, then carry on: 477 / 87

Moving on to step 3:
87 goes into 477 5 times with a remainder of 42.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 435 from 477 and we're left with 42.
Bring next digit (3) of the dividend behind the 42 and repeat the process: 423 / 87

Going ahead to step 4:
87 can be fit into 423 4 times, resulting in a remainder of 75.
Put 4 as the next digit of the answer. 
Result so far: 54.0
If we take 348 away from 423, we end up with 75.
Grab the next digit (0) from the dividend, add it to 75, then carry on: 750 / 87

Step 5:
The number 87 fits into 750 8 times, leaving a remainder of 54.
Put 8 as the next digit of the answer. 
Result so far: 548.0
If we take 696 away from 750, we end up with 54.
Bring next digit (6) of the dividend behind the 54 and repeat the process: 546 / 87

Advancing to step 6:
87 goes into 546 6 times with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 5486.0
If we take 522 away from 546, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
If we divide 240 by 87, we get 2 and a remainder of 66.
The next digit of our result is 2. 
Result so far: 5486.2
Subtract 174 from 240 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 8:
The number 87 fits into 660 7 times, leaving a remainder of 51.
Put 7 as the next digit of the answer. 
Result so far: 5486.27
Subtract 609 from 660 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 9:
When dividing 510 by 87, we get 5 with a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 5486.275
Deduct 435 from 510 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 10:
If we divide 750 by 87, we get 8 and a remainder of 54.
The next digit of our result is 8. 
Result so far: 5486.2758
Subtracting 696 from 750 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 11:
If we divide 540 by 87, we get 6 and a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 5486.27586
If we take 522 away from 540, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
If we divide 180 by 87, we get 2 and a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 5486.275862
Subtract 174 from 180 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
When dividing 60 by 87, we get 0 with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 5486.275862
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 14:
87 goes into 600 6 times with a remainder of 78.
The number 6 becomes the next digit in our result. 
Result so far: 5486.27586206
If we take 522 away from 600, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

The quotient of the division is 5486.27586206, and the remainder is 7.8e-08.