We're dividing 646933 by 87 
We want to divide 646933 by 87.

Step 1:
87 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 87

Let's proceed to step 2:
The number 87 fits into 64 0 times, leaving a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Append the next digit (6) from the dividend to 64 and continue with: 646 / 87

On to step 3:
When dividing 646 by 87, we get 7 with a remainder of 37.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 37 after subtracting 609 from 646.
Append the next digit (9) from the dividend to 37 and continue with: 379 / 87

Advancing to step 4:
If we divide 379 by 87, we get 4 and a remainder of 31.
Use 4 as the next digit of our solution. 
Result so far: 74.0
If we subtract 348 from 379, we get 31.
Append the next digit (3) from the dividend to 31 and continue with: 313 / 87

Going ahead to step 5:
87 goes into 313 3 times with a remainder of 52.
The number 3 becomes the next digit in our result. 
Result so far: 743.0
If we subtract 261 from 313, we get 52.
Take the next digit (3) from the dividend and append it to 52, then repeat: 523 / 87

Moving on to step 6:
If we divide 523 by 87, we get 6 and a remainder of 1.
The next digit of our result is 6. 
Result so far: 7436.0
If we subtract 522 from 523, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
If we divide 10 by 87, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 7436.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
87 can be fit into 100 1 times, resulting in a remainder of 13.
The next digit of our result is 1. 
Result so far: 7436.01
Subtracting 87 from 100 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 9:
130 divided by 87 is 1 with a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 7436.011
If we take 87 away from 130, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

In conclusion, the division gives 7436.011 with a balance of 0.0043.