We're dividing 43242 by 78 
We're looking to find how many times 78 goes into 43242.

Moving on to step 1:
The number 78 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 78

Going ahead to step 2:
When dividing 43 by 78, we get 0 with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Append the next digit (2) from the dividend to 43 and continue with: 432 / 78

Advancing to step 3:
The number 78 fits into 432 5 times, leaving a remainder of 42.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 390 from 432, we get 42.
Grab the next digit (4) from the dividend, add it to 42, then carry on: 424 / 78

Step 4:
When dividing 424 by 78, we get 5 with a remainder of 34.
Put 5 as the next digit of the answer. 
Result so far: 55.0
If we take 390 away from 424, we end up with 34.
Append the next digit (2) from the dividend to 34 and continue with: 342 / 78

Step 5:
The number 78 fits into 342 4 times, leaving a remainder of 30.
Record the quotient 4 as the next digit in the result. 
Result so far: 554.0
The remainder is 30 after subtracting 312 from 342.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 6:
The number 78 fits into 300 3 times, leaving a remainder of 66.
The number 3 becomes the next digit in our result. 
Result so far: 554.3
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 7:
78 goes into 660 8 times with a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 554.38
If we subtract 624 from 660, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 8:
If we divide 360 by 78, we get 4 and a remainder of 48.
The next digit of our result is 4. 
Result so far: 554.384
If we subtract 312 from 360, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 9:
78 can be fit into 480 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 554.3846
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.

Advancing to step 10:
120 divided by 78 is 1 with a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 554.38461
Subtracting 78 from 120 leaves us 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.

Step 11:
If we divide 420 by 78, we get 5 and a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 554.384615
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.

Advancing to step 12:
When dividing 300 by 78, we get 3 with a remainder of 66.
The number 3 becomes the next digit in our result. 
Result so far: 554.3846153
If we take 234 away from 300, we end up 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 13:
78 goes into 660 8 times with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 554.38461538
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.

The quotient of the division is 554.38461538, and the remainder is 3.6e-08.