We're dividing 76812969 by 942 
Our goal is to divide 76812969 by 942.

On to step 1:
942 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 942

Step 2:
If we divide 76 by 942, we get 0 and a remainder of 76.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 76 and we're left with 76.
Fetch the next digit (8) from the dividend, attach it to 76 and continue: 768 / 942

Advancing to step 3:
When dividing 768 by 942, we get 0 with a remainder of 768.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 768 after subtracting 0 from 768.
Grab the next digit (1) from the dividend, add it to 768, then carry on: 7681 / 942

Let's proceed to step 4:
When dividing 7681 by 942, we get 8 with a remainder of 145.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 7536 from 7681, we get 145.
Fetch the next digit (2) from the dividend, attach it to 145 and continue: 1452 / 942

Moving on to step 5:
The number 942 fits into 1452 1 times, leaving a remainder of 510.
Put 1 as the next digit of the answer. 
Result so far: 81.0
Subtracting 942 from 1452 leaves us with 510.
Grab the next digit (9) from the dividend, add it to 510, then carry on: 5109 / 942

Step 6:
If we divide 5109 by 942, we get 5 and a remainder of 399.
The next digit of our result is 5. 
Result so far: 815.0
If we subtract 4710 from 5109, we get 399.
Grab the next digit (6) from the dividend, add it to 399, then carry on: 3996 / 942

Advancing to step 7:
3996 divided by 942 is 4 with a remainder of 228.
Record the quotient 4 as the next digit in the result. 
Result so far: 8154.0
Subtracting 3768 from 3996 leaves us with 228.
Take the next digit (9) from the dividend and append it to 228, then repeat: 2289 / 942

Let's proceed to step 8:
942 can be fit into 2289 2 times, resulting in a remainder of 405.
Record the quotient 2 as the next digit in the result. 
Result so far: 81542.0
If we subtract 1884 from 2289, we get 405.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4050, and continue the process.

Let's proceed to step 9:
If we divide 4050 by 942, we get 4 and a remainder of 282.
Put 4 as the next digit of the answer. 
Result so far: 81542.4
If we take 3768 away from 4050, we end up with 282.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

Moving on to step 10:
When dividing 2820 by 942, we get 2 with a remainder of 936.
Put 2 as the next digit of the answer. 
Result so far: 81542.42
Subtract 1884 from 2820 to get 936.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9360, and continue the process.

Moving on to step 11:
If we divide 9360 by 942, we get 9 and a remainder of 882.
Use 9 as the next digit of our solution. 
Result so far: 81542.429
The remainder is 882 after subtracting 8478 from 9360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8820, and continue the process.

Moving on to step 12:
8820 divided by 942 is 9 with a remainder of 342.
Use 9 as the next digit of our solution. 
Result so far: 81542.4299
Deduct 8478 from 8820 and we're left with 342.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

In conclusion, the division gives 81542.4299 with a balance of 0.00342.