We look at the division of 587359 by 78 
Our goal is to divide 587359 by 78.

Advancing to step 1:
5 divided by 78 is 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.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 78

Let's proceed to step 2:
When dividing 58 by 78, we get 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Take the next digit (7) from the dividend and append it to 58, then repeat: 587 / 78

Moving on to step 3:
587 divided by 78 is 7 with a remainder of 41.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 41 after subtracting 546 from 587.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 78

Going ahead to step 4:
413 divided by 78 is 5 with a remainder of 23.
The next digit of our result is 5. 
Result so far: 75.0
Deduct 390 from 413 and we're left with 23.
Bring next digit (5) of the dividend behind the 23 and repeat the process: 235 / 78

On to step 5:
235 divided by 78 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 753.0
If we subtract 234 from 235, we get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 78

Step 6:
19 divided by 78 is 0 with a remainder of 19.
The next digit of our result is 0. 
Result so far: 7530.0
Subtract 0 from 19 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
If we divide 190 by 78, we get 2 and a remainder of 34.
Use 2 as the next digit of our solution. 
Result so far: 7530.2
The remainder is 34 after subtracting 156 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
340 divided by 78 is 4 with a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 7530.24
Subtracting 312 from 340 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
The number 78 fits into 280 3 times, leaving a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 7530.243
If we take 234 away from 280, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 10:
The number 78 fits into 460 5 times, leaving a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 7530.2435
Deduct 390 from 460 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 11:
The number 78 fits into 700 8 times, leaving a remainder of 76.
Record the quotient 8 as the next digit in the result. 
Result so far: 7530.24358
Deduct 624 from 700 and we're left 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.

Going ahead to step 12:
When dividing 760 by 78, we get 9 with a remainder of 58.
Write down 9 as next digit of the result. 
Result so far: 7530.243589
Deduct 702 from 760 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 13:
580 divided by 78 is 7 with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 7530.2435897
Subtracting 546 from 580 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 14:
78 goes into 340 4 times with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 7530.24358974
Deduct 312 from 340 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 7530.24358974 with a balance of 2.8e-08.