643501 divided by 78 
Our goal is to divide 643501 by 78.

Advancing to step 1:
78 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 78

Step 2:
When dividing 64 by 78, we get 0 with a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Take the next digit (3) from the dividend and append it to 64, then repeat: 643 / 78

Going ahead to step 3:
643 divided by 78 is 8 with a remainder of 19.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 624 away from 643, we end up with 19.
Include the next digit (5) from the dividend after 19, then repeat: 195 / 78

Step 4:
78 goes into 195 2 times with a remainder of 39.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
Deduct 156 from 195 and we're left with 39.
Bring next digit (0) of the dividend behind the 39 and repeat the process: 390 / 78

Moving on to step 5:
The number 78 fits into 390 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 825.0
If we subtract 390 from 390, we get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 78

On to step 6:
The number 78 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 8250.0
If we take 0 away from 1, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
If we divide 10 by 78, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 8250.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
If we divide 100 by 78, we get 1 and a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 8250.01
Subtract 78 from 100 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
78 can be fit into 220 2 times, resulting in a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 8250.012
If we subtract 156 from 220, 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.

On to step 10:
The number 78 fits into 640 8 times, leaving a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 8250.0128
The remainder is 16 after subtracting 624 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 11:
If we divide 160 by 78, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 8250.01282
Subtracting 156 from 160 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
78 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 8250.01282
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 13:
The number 78 fits into 400 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 8250.0128205
Subtract 390 from 400 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
If we divide 100 by 78, we get 1 and a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 8250.01282051
If we subtract 78 from 100, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 8250.01282051, and the remainder is 2.2e-08.