We look at the division of 9182 by 78 
We're looking to find how many times 78 goes into 9182.

Going ahead to step 1:
78 goes into 9 0 times with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 78

Moving on to step 2:
When dividing 91 by 78, we get 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 13 after subtracting 78 from 91.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 78

On to step 3:
When dividing 138 by 78, we get 1 with a remainder of 60.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Deduct 78 from 138 and we're left with 60.
Fetch the next digit (2) from the dividend, attach it to 60 and continue: 602 / 78

Step 4:
602 divided by 78 is 7 with a remainder of 56.
The next digit of our result is 7. 
Result so far: 117.0
If we subtract 546 from 602, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 5:
78 can be fit into 560 7 times, resulting in a remainder of 14.
The next digit of our result is 7. 
Result so far: 117.7
The remainder is 14 after subtracting 546 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 6:
78 goes into 140 1 times with a remainder of 62.
Record the quotient 1 as the next digit in the result. 
Result so far: 117.71
If we subtract 78 from 140, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 7:
78 goes into 620 7 times with a remainder of 74.
The number 7 becomes the next digit in our result. 
Result so far: 117.717
The remainder is 74 after subtracting 546 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 8:
740 divided by 78 is 9 with a remainder of 38.
The number 9 becomes the next digit in our result. 
Result so far: 117.7179
The remainder is 38 after subtracting 702 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 9:
If we divide 380 by 78, we get 4 and a remainder of 68.
The number 4 becomes the next digit in our result. 
Result so far: 117.71794
Subtract 312 from 380 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 10:
If we divide 680 by 78, we get 8 and a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 117.717948
The remainder is 56 after subtracting 624 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 11:
560 divided by 78 is 7 with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 117.7179487
If we take 546 away from 560, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 12:
78 goes into 140 1 times with a remainder of 62.
Write down 1 as next digit of the result. 
Result so far: 117.71794871
If we take 78 away from 140, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

The final result is 117.71794871 with a remainder of 6.2e-08.