We're dividing 76978 by 30 
We want to figure out the number of times 76978 can be divided by 30.

Moving on to step 1:
If we divide 7 by 30, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 30

On to step 2:
If we divide 76 by 30, we get 2 and a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 60 away from 76, we end up with 16.
Include the next digit (9) from the dividend after 16, then repeat: 169 / 30

Let's proceed to step 3:
The number 30 fits into 169 5 times, leaving a remainder of 19.
Put 5 as the next digit of the answer. 
Result so far: 25.0
Subtracting 150 from 169 leaves us with 19.
Take the next digit (7) from the dividend and append it to 19, then repeat: 197 / 30

On to step 4:
If we divide 197 by 30, we get 6 and a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 256.0
Subtracting 180 from 197 leaves us with 17.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 30

Moving on to step 5:
178 divided by 30 is 5 with a remainder of 28.
Record the quotient 5 as the next digit in the result. 
Result so far: 2565.0
Deduct 150 from 178 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.

Let's proceed to step 6:
30 goes into 280 9 times with a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 2565.9
Deduct 270 from 280 and we're left 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.

Advancing to step 7:
If we divide 100 by 30, we get 3 and a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 2565.93
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
30 goes into 100 3 times with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 2565.933
Deduct 90 from 100 and we're left 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.

The quotient of the division is 2565.933, and the remainder is 0.001.