We look at the division of 341419 by 78 
Our goal is to divide 341419 by 78.

Going ahead to step 1:
3 divided by 78 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 78

Step 2:
The number 78 fits into 34 0 times, leaving a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Fetch the next digit (1) from the dividend, attach it to 34 and continue: 341 / 78

Advancing to step 3:
When dividing 341 by 78, we get 4 with a remainder of 29.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 312 away from 341, we end up with 29.
Include the next digit (4) from the dividend after 29, then repeat: 294 / 78

Moving on to step 4:
If we divide 294 by 78, we get 3 and a remainder of 60.
Put 3 as the next digit of the answer. 
Result so far: 43.0
Subtracting 234 from 294 leaves us with 60.
Grab the next digit (1) from the dividend, add it to 60, then carry on: 601 / 78

Going ahead to step 5:
The number 78 fits into 601 7 times, leaving a remainder of 55.
The number 7 becomes the next digit in our result. 
Result so far: 437.0
Subtracting 546 from 601 leaves us with 55.
Grab the next digit (9) from the dividend, add it to 55, then carry on: 559 / 78

Advancing to step 6:
The number 78 fits into 559 7 times, leaving a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 4377.0
Subtracting 546 from 559 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
130 divided by 78 is 1 with a remainder of 52.
Put 1 as the next digit of the answer. 
Result so far: 4377.1
Subtracting 78 from 130 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 8:
The number 78 fits into 520 6 times, leaving a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 4377.16
If we subtract 468 from 520, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 9:
78 goes into 520 6 times with a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 4377.166
The remainder is 52 after subtracting 468 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

After the division, we end up with 4377.166 and a remainder of 0.0052.