81385642 ÷ 678 
Our goal is to divide 81385642 by 678.

Let's proceed to step 1:
If we divide 8 by 678, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 678

Step 2:
The number 678 fits into 81 0 times, leaving a remainder of 81.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 81, we end up with 81.
Bring next digit (3) of the dividend behind the 81 and repeat the process: 813 / 678

On to step 3:
678 can be fit into 813 1 times, resulting in a remainder of 135.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 678 from 813 leaves us with 135.
Grab the next digit (8) from the dividend, add it to 135, then carry on: 1358 / 678

Going ahead to step 4:
1358 divided by 678 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 12.0
Deduct 1356 from 1358 and we're left with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 678

On to step 5:
If we divide 25 by 678, we get 0 and a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 120.0
If we take 0 away from 25, we end up with 25.
Take the next digit (6) from the dividend and append it to 25, then repeat: 256 / 678

On to step 6:
678 goes into 256 0 times with a remainder of 256.
Record the quotient 0 as the next digit in the result. 
Result so far: 1200.0
The remainder is 256 after subtracting 0 from 256.
Take the next digit (4) from the dividend and append it to 256, then repeat: 2564 / 678

Going ahead to step 7:
When dividing 2564 by 678, we get 3 with a remainder of 530.
Put 3 as the next digit of the answer. 
Result so far: 12003.0
Subtract 2034 from 2564 to get 530.
Grab the next digit (2) from the dividend, add it to 530, then carry on: 5302 / 678

Moving on to step 8:
5302 divided by 678 is 7 with a remainder of 556.
The number 7 becomes the next digit in our result. 
Result so far: 120037.0
If we take 4746 away from 5302, we end up with 556.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5560, and continue the process.

Let's proceed to step 9:
678 goes into 5560 8 times with a remainder of 136.
The next digit of our result is 8. 
Result so far: 120037.8
The remainder is 136 after subtracting 5424 from 5560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Advancing to step 10:
678 goes into 1360 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 120037.82
If we take 1356 away from 1360, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 11:
678 can be fit into 40 0 times, resulting in a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 120037.82
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 12:
678 can be fit into 400 0 times, resulting in a remainder of 400.
Put 0 as the next digit of the answer. 
Result so far: 120037.82
Subtract 0 from 400 to get 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

In conclusion, the division gives 120037.82 with a balance of 0.004.