We're dividing 353741 by 78 
We want to figure out the number of times 353741 can be divided by 78.

On to step 1:
When dividing 3 by 78, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 78

Moving on to step 2:
If we divide 35 by 78, we get 0 and a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Bring next digit (3) of the dividend behind the 35 and repeat the process: 353 / 78

On to step 3:
78 goes into 353 4 times with a remainder of 41.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 312 from 353 to get 41.
Take the next digit (7) from the dividend and append it to 41, then repeat: 417 / 78

Step 4:
78 can be fit into 417 5 times, resulting in a remainder of 27.
Write down 5 as next digit of the result. 
Result so far: 45.0
Subtract 390 from 417 to get 27.
Append the next digit (4) from the dividend to 27 and continue with: 274 / 78

Going ahead to step 5:
The number 78 fits into 274 3 times, leaving a remainder of 40.
The next digit of our result is 3. 
Result so far: 453.0
The remainder is 40 after subtracting 234 from 274.
Include the next digit (1) from the dividend after 40, then repeat: 401 / 78

Step 6:
401 divided by 78 is 5 with a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 4535.0
If we take 390 away from 401, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
The number 78 fits into 110 1 times, leaving a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 4535.1
The remainder is 32 after subtracting 78 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
If we divide 320 by 78, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 4535.14
If we subtract 312 from 320, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
78 goes into 80 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 4535.141
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
When dividing 20 by 78, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 4535.141
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
200 divided by 78 is 2 with a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 4535.14102
If we take 156 away from 200, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 12:
The number 78 fits into 440 5 times, leaving a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 4535.141025
Subtract 390 from 440 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 13:
78 goes into 500 6 times with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 4535.1410256
Subtracting 468 from 500 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 14:
320 divided by 78 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 4535.14102564
If we subtract 312 from 320, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 4535.14102564, with a leftover of 8e-09.