Let's divide 7734 by 78
Our goal is to divide 7734 by 78.

Step 1:
78 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 78

Step 2:
78 goes into 77 0 times with a remainder of 77.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 77 leaves us with 77.
Append the next digit (3) from the dividend to 77 and continue with: 773 / 78

Going ahead to step 3:
78 goes into 773 9 times with a remainder of 71.
The next digit of our result is 9. 
Result so far: 9.0
Subtracting 702 from 773 leaves us with 71.
Take the next digit (4) from the dividend and append it to 71, then repeat: 714 / 78

Advancing to step 4:
78 can be fit into 714 9 times, resulting in a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 99.0
If we take 702 away from 714, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 5:
78 goes into 120 1 times with a remainder of 42.
The next digit of our result is 1. 
Result so far: 99.1
Deduct 78 from 120 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 6:
When dividing 420 by 78, we get 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 99.15
Subtract 390 from 420 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
78 goes into 300 3 times with a remainder of 66.
The number 3 becomes the next digit in our result. 
Result so far: 99.153
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.

Step 8:
The number 78 fits into 660 8 times, leaving a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 99.1538
Subtracting 624 from 660 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 9:
78 can be fit into 360 4 times, resulting in a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 99.15384
Deduct 312 from 360 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 10:
If we divide 480 by 78, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 99.153846
Deduct 468 from 480 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
If we divide 120 by 78, we get 1 and a remainder of 42.
The next digit of our result is 1. 
Result so far: 99.1538461
If we subtract 78 from 120, we 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.

Going ahead to step 12:
The number 78 fits into 420 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 99.15384615
If we take 390 away from 420, we end up 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.

After the division, we end up with 99.15384615 and a remainder of 3e-08.