We're dividing 653409 by 78 
We want to divide 653409 by 78.

Step 1:
78 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 78

On to step 2:
The number 78 fits into 65 0 times, leaving a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 65 leaves us with 65.
Include the next digit (3) from the dividend after 65, then repeat: 653 / 78

Going ahead to step 3:
When dividing 653 by 78, we get 8 with a remainder of 29.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 29 after subtracting 624 from 653.
Fetch the next digit (4) from the dividend, attach it to 29 and continue: 294 / 78

Advancing to step 4:
78 goes into 294 3 times with a remainder of 60.
Put 3 as the next digit of the answer. 
Result so far: 83.0
Deduct 234 from 294 and we're left with 60.
Fetch the next digit (0) from the dividend, attach it to 60 and continue: 600 / 78

Step 5:
When dividing 600 by 78, we get 7 with a remainder of 54.
The number 7 becomes the next digit in our result. 
Result so far: 837.0
Subtracting 546 from 600 leaves us with 54.
Bring next digit (9) of the dividend behind the 54 and repeat the process: 549 / 78

Step 6:
If we divide 549 by 78, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 8377.0
If we subtract 546 from 549, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
78 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 8377.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
The number 78 fits into 300 3 times, leaving a remainder of 66.
Use 3 as the next digit of our solution. 
Result so far: 8377.03
The remainder is 66 after subtracting 234 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 9:
When dividing 660 by 78, we get 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 8377.038
If we take 624 away from 660, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 10:
When dividing 360 by 78, we get 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 8377.0384
Deduct 312 from 360 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.

Advancing to step 11:
If we divide 480 by 78, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 8377.03846
If we take 468 away from 480, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
78 can be fit into 120 1 times, resulting in a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 8377.038461
The remainder is 42 after subtracting 78 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 13:
420 divided by 78 is 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 8377.0384615
Deduct 390 from 420 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 14:
78 can be fit into 300 3 times, resulting in a remainder of 66.
Record the quotient 3 as the next digit in the result. 
Result so far: 8377.03846153
Subtract 234 from 300 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.

In conclusion, the division gives 8377.03846153 with a balance of 6.6e-08.