6977042 ÷ 788 
Our goal is to divide 6977042 by 788.

Step 1:
When dividing 6 by 788, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 788

Moving on to step 2:
788 goes into 69 0 times with a remainder of 69.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 69 and we're left with 69.
Take the next digit (7) from the dividend and append it to 69, then repeat: 697 / 788

Moving on to step 3:
When dividing 697 by 788, we get 0 with a remainder of 697.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 697, we get 697.
Include the next digit (7) from the dividend after 697, then repeat: 6977 / 788

Let's proceed to step 4:
If we divide 6977 by 788, we get 8 and a remainder of 673.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 6304 from 6977 leaves us with 673.
Append the next digit (0) from the dividend to 673 and continue with: 6730 / 788

Moving on to step 5:
The number 788 fits into 6730 8 times, leaving a remainder of 426.
The number 8 becomes the next digit in our result. 
Result so far: 88.0
If we subtract 6304 from 6730, we get 426.
Append the next digit (4) from the dividend to 426 and continue with: 4264 / 788

On to step 6:
788 can be fit into 4264 5 times, resulting in a remainder of 324.
The number 5 becomes the next digit in our result. 
Result so far: 885.0
If we take 3940 away from 4264, we end up with 324.
Grab the next digit (2) from the dividend, add it to 324, then carry on: 3242 / 788

On to step 7:
If we divide 3242 by 788, we get 4 and a remainder of 90.
The number 4 becomes the next digit in our result. 
Result so far: 8854.0
If we take 3152 away from 3242, we end up with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Moving on to step 8:
If we divide 900 by 788, we get 1 and a remainder of 112.
Use 1 as the next digit of our solution. 
Result so far: 8854.1
The remainder is 112 after subtracting 788 from 900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

Advancing to step 9:
1120 divided by 788 is 1 with a remainder of 332.
Record the quotient 1 as the next digit in the result. 
Result so far: 8854.11
Deduct 788 from 1120 and we're left with 332.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3320, and continue the process.

Our division results in 8854.11 with a remaining 0.332.