We look at the division of 82137 by 78 
Let's see how many times 78 fits into 82137.

On to step 1:
The number 78 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 78

Going ahead to step 2:
The number 78 fits into 82 1 times, leaving a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 78 from 82 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 78

On to step 3:
78 goes into 41 0 times with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 41 to get 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 78

Step 4:
If we divide 413 by 78, we get 5 and a remainder of 23.
Record the quotient 5 as the next digit in the result. 
Result so far: 105.0
Subtract 390 from 413 to get 23.
Take the next digit (7) from the dividend and append it to 23, then repeat: 237 / 78

Going ahead to step 5:
78 can be fit into 237 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 1053.0
Subtract 234 from 237 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 6:
If we divide 30 by 78, we get 0 and a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 1053.0
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
78 can be fit into 300 3 times, resulting in a remainder of 66.
Put 3 as the next digit of the answer. 
Result so far: 1053.03
Subtracting 234 from 300 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 8:
78 can be fit into 660 8 times, resulting in a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 1053.038
The remainder is 36 after subtracting 624 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 9:
78 can be fit into 360 4 times, resulting in a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 1053.0384
The remainder is 48 after subtracting 312 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 10:
The number 78 fits into 480 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 1053.03846
Subtract 468 from 480 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
78 goes into 120 1 times with a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 1053.038461
Subtract 78 from 120 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 12:
If we divide 420 by 78, we get 5 and a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 1053.0384615
The remainder is 30 after subtracting 390 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 13:
300 divided by 78 is 3 with a remainder of 66.
The number 3 becomes the next digit in our result. 
Result so far: 1053.03846153
Subtract 234 from 300 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The quotient of the division is 1053.03846153, and the remainder is 6.6e-08.