514774 ÷ 87 
Our goal is to divide 514774 by 87.

Step 1:
When dividing 5 by 87, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 87

Moving on to step 2:
The number 87 fits into 51 0 times, leaving a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Bring next digit (4) of the dividend behind the 51 and repeat the process: 514 / 87

Moving on to step 3:
87 can be fit into 514 5 times, resulting in a remainder of 79.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 79 after subtracting 435 from 514.
Take the next digit (7) from the dividend and append it to 79, then repeat: 797 / 87

Moving on to step 4:
The number 87 fits into 797 9 times, leaving a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
Subtract 783 from 797 to get 14.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 87

Let's proceed to step 5:
147 divided by 87 is 1 with a remainder of 60.
Use 1 as the next digit of our solution. 
Result so far: 591.0
Subtracting 87 from 147 leaves us with 60.
Include the next digit (4) from the dividend after 60, then repeat: 604 / 87

Let's proceed to step 6:
87 goes into 604 6 times with a remainder of 82.
Use 6 as the next digit of our solution. 
Result so far: 5916.0
Subtract 522 from 604 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Step 7:
87 goes into 820 9 times with a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 5916.9
If we take 783 away from 820, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 8:
87 goes into 370 4 times with a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 5916.94
Subtracting 348 from 370 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 9:
220 divided by 87 is 2 with a remainder of 46.
Put 2 as the next digit of the answer. 
Result so far: 5916.942
Subtract 174 from 220 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 10:
87 goes into 460 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5916.9425
Subtracting 435 from 460 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 11:
If we divide 250 by 87, we get 2 and a remainder of 76.
Put 2 as the next digit of the answer. 
Result so far: 5916.94252
Subtracting 174 from 250 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 12:
The number 87 fits into 760 8 times, leaving a remainder of 64.
The next digit of our result is 8. 
Result so far: 5916.942528
If we subtract 696 from 760, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 13:
87 goes into 640 7 times with a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 5916.9425287
If we subtract 609 from 640, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 14:
310 divided by 87 is 3 with a remainder of 49.
Write down 3 as next digit of the result. 
Result so far: 5916.94252873
If we take 261 away from 310, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

The quotient of the division is 5916.94252873, and the remainder is 4.9e-08.