Let's divide 434742 by 78
We want to divide 434742 by 78.

Step 1:
4 divided by 78 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 78

Going ahead to step 2:
78 can be fit into 43 0 times, resulting in a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Grab the next digit (4) from the dividend, add it to 43, then carry on: 434 / 78

Moving on to step 3:
78 can be fit into 434 5 times, resulting in a remainder of 44.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 390 from 434 leaves us with 44.
Take the next digit (7) from the dividend and append it to 44, then repeat: 447 / 78

Let's proceed to step 4:
When dividing 447 by 78, we get 5 with a remainder of 57.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
Subtracting 390 from 447 leaves us with 57.
Bring next digit (4) of the dividend behind the 57 and repeat the process: 574 / 78

Let's proceed to step 5:
574 divided by 78 is 7 with a remainder of 28.
Use 7 as the next digit of our solution. 
Result so far: 557.0
If we take 546 away from 574, we end up with 28.
Bring next digit (2) of the dividend behind the 28 and repeat the process: 282 / 78

Moving on to step 6:
If we divide 282 by 78, we get 3 and a remainder of 48.
The number 3 becomes the next digit in our result. 
Result so far: 5573.0
If we take 234 away from 282, we end up 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.

Let's proceed to step 7:
If we divide 480 by 78, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 5573.6
If we take 468 away from 480, 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.

Moving on to step 8:
78 goes into 120 1 times with a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 5573.61
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.

Going ahead to step 9:
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: 5573.615
If we subtract 390 from 420, we 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.

Let's proceed to step 10:
The number 78 fits into 300 3 times, leaving a remainder of 66.
The next digit of our result is 3. 
Result so far: 5573.6153
Deduct 234 from 300 and we're left 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 11:
78 goes into 660 8 times with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 5573.61538
If we take 624 away from 660, we end up 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.

Let's proceed to step 12:
When dividing 360 by 78, we get 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 5573.615384
Subtracting 312 from 360 leaves us 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.

Advancing to step 13:
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: 5573.6153846
Subtracting 468 from 480 leaves us 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.

On to step 14:
The number 78 fits into 120 1 times, leaving a remainder of 42.
Record the quotient 1 as the next digit in the result. 
Result so far: 5573.61538461
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.

The final result is 5573.61538461 with a remainder of 4.2e-08.