Let's divide 78122 by 71
Our goal is to divide 78122 by 71.

Let's proceed to step 1:
7 divided by 71 is 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 71

On to step 2:
78 divided by 71 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 71 from 78 and we're left with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 71

Step 3:
The number 71 fits into 71 1 times, leaving a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 71 from 71 and we're left with 0.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 71

Step 4:
71 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 110.0
Subtract 0 from 2 to get 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 71

Advancing to step 5:
71 goes into 22 0 times with a remainder of 22.
Put 0 as the next digit of the answer. 
Result so far: 1100.0
Subtracting 0 from 22 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 6:
The number 71 fits into 220 3 times, leaving a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 1100.3
Subtract 213 from 220 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
70 divided by 71 is 0 with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 1100.3
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 8:
700 divided by 71 is 9 with a remainder of 61.
Use 9 as the next digit of our solution. 
Result so far: 1100.309
The remainder is 61 after subtracting 639 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 9:
The number 71 fits into 610 8 times, leaving a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 1100.3098
Subtract 568 from 610 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.

Advancing to step 10:
71 goes into 420 5 times with a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 1100.30985
Deduct 355 from 420 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 11:
When dividing 650 by 71, we get 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 1100.309859
If we subtract 639 from 650, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 12:
110 divided by 71 is 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 1100.3098591
If we subtract 71 from 110, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 13:
390 divided by 71 is 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 1100.30985915
Subtract 355 from 390 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 1100.30985915 with a balance of 3.5e-08.