78411767 ÷ 442 
We want to figure out the number of times 78411767 can be divided by 442.

Going ahead to step 1:
442 can be fit into 7 0 times, resulting in 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.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 442

Step 2:
78 divided by 442 is 0 with a remainder of 78.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 78, we get 78.
Grab the next digit (4) from the dividend, add it to 78, then carry on: 784 / 442

Let's proceed to step 3:
The number 442 fits into 784 1 times, leaving a remainder of 342.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 342 after subtracting 442 from 784.
Include the next digit (1) from the dividend after 342, then repeat: 3421 / 442

Step 4:
When dividing 3421 by 442, we get 7 with a remainder of 327.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
If we take 3094 away from 3421, we end up with 327.
Fetch the next digit (1) from the dividend, attach it to 327 and continue: 3271 / 442

On to step 5:
The number 442 fits into 3271 7 times, leaving a remainder of 177.
Write down 7 as next digit of the result. 
Result so far: 177.0
The remainder is 177 after subtracting 3094 from 3271.
Fetch the next digit (7) from the dividend, attach it to 177 and continue: 1777 / 442

Step 6:
When dividing 1777 by 442, we get 4 with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 1774.0
If we take 1768 away from 1777, we end up with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 442

Let's proceed to step 7:
When dividing 96 by 442, we get 0 with a remainder of 96.
The next digit of our result is 0. 
Result so far: 17740.0
Deduct 0 from 96 and we're left with 96.
Take the next digit (7) from the dividend and append it to 96, then repeat: 967 / 442

Let's proceed to step 8:
967 divided by 442 is 2 with a remainder of 83.
Put 2 as the next digit of the answer. 
Result so far: 177402.0
Subtract 884 from 967 to get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Moving on to step 9:
442 can be fit into 830 1 times, resulting in a remainder of 388.
The next digit of our result is 1. 
Result so far: 177402.1
The remainder is 388 after subtracting 442 from 830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3880, and continue the process.

Step 10:
When dividing 3880 by 442, we get 8 with a remainder of 344.
Use 8 as the next digit of our solution. 
Result so far: 177402.18
Subtracting 3536 from 3880 leaves us with 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

Moving on to step 11:
442 can be fit into 3440 7 times, resulting in a remainder of 346.
The next digit of our result is 7. 
Result so far: 177402.187
Subtracting 3094 from 3440 leaves us with 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Step 12:
If we divide 3460 by 442, we get 7 and a remainder of 366.
Use 7 as the next digit of our solution. 
Result so far: 177402.1877
If we take 3094 away from 3460, we end up with 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

In conclusion, the division gives 177402.1877 with a balance of 0.00366.