355741 ÷ 78 
Our goal is to divide 355741 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
If we take 0 away from 3, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 78

Advancing to step 2:
35 divided by 78 is 0 with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Grab the next digit (5) from the dividend, add it to 35, then carry on: 355 / 78

On to step 3:
If we divide 355 by 78, we get 4 and a remainder of 43.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 312 from 355, we get 43.
Include the next digit (7) from the dividend after 43, then repeat: 437 / 78

Let's proceed to step 4:
78 can be fit into 437 5 times, resulting in a remainder of 47.
Write down 5 as next digit of the result. 
Result so far: 45.0
Subtract 390 from 437 to get 47.
Append the next digit (4) from the dividend to 47 and continue with: 474 / 78

Moving on to step 5:
78 goes into 474 6 times with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 456.0
Deduct 468 from 474 and we're left with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 78

On to step 6:
78 goes into 61 0 times with a remainder of 61.
Write down 0 as next digit of the result. 
Result so far: 4560.0
Deduct 0 from 61 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 7:
78 can be fit into 610 7 times, resulting in a remainder of 64.
The number 7 becomes the next digit in our result. 
Result so far: 4560.7
If we subtract 546 from 610, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 8:
78 goes into 640 8 times with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 4560.78
If we take 624 away from 640, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
78 goes into 160 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 4560.782
If we subtract 156 from 160, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
78 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 4560.782
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 11:
78 can be fit into 400 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 4560.78205
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
100 divided by 78 is 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 4560.782051
If we take 78 away from 100, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 13:
220 divided by 78 is 2 with a remainder of 64.
The next digit of our result is 2. 
Result so far: 4560.7820512
Subtracting 156 from 220 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 14:
78 goes into 640 8 times with a remainder of 16.
The next digit of our result is 8. 
Result so far: 4560.78205128
The remainder is 16 after subtracting 624 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 4560.78205128 with a remaining 1.6e-08.