646503 ÷ 87 
Let's see how many times 87 fits into 646503.

Going ahead to step 1:
87 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 87

Moving on to step 2:
If we divide 64 by 87, we get 0 and a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Grab the next digit (6) from the dividend, add it to 64, then carry on: 646 / 87

Let's proceed to step 3:
87 goes into 646 7 times with a remainder of 37.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 37 after subtracting 609 from 646.
Append the next digit (5) from the dividend to 37 and continue with: 375 / 87

On to step 4:
When dividing 375 by 87, we get 4 with a remainder of 27.
Use 4 as the next digit of our solution. 
Result so far: 74.0
The remainder is 27 after subtracting 348 from 375.
Include the next digit (0) from the dividend after 27, then repeat: 270 / 87

Going ahead to step 5:
270 divided by 87 is 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 743.0
If we subtract 261 from 270, we get 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 87

Step 6:
87 can be fit into 93 1 times, resulting in a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 7431.0
Subtract 87 from 93 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.

Advancing to step 7:
The number 87 fits into 60 0 times, leaving a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 7431.0
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 8:
The number 87 fits into 600 6 times, leaving a remainder of 78.
Write down 6 as next digit of the result. 
Result so far: 7431.06
Deduct 522 from 600 and we're left 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.

Going ahead to step 9:
If we divide 780 by 87, we get 8 and a remainder of 84.
The number 8 becomes the next digit in our result. 
Result so far: 7431.068
If we subtract 696 from 780, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Step 10:
840 divided by 87 is 9 with a remainder of 57.
The number 9 becomes the next digit in our result. 
Result so far: 7431.0689
Subtract 783 from 840 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 11:
When dividing 570 by 87, we get 6 with a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 7431.06896
Deduct 522 from 570 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 12:
87 goes into 480 5 times with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 7431.068965
If we subtract 435 from 480, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 13:
When dividing 450 by 87, we get 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 7431.0689655
If we subtract 435 from 450, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 7431.0689655 with a remaining 1.5e-07.