353021 divided by 78 
Our goal is to divide 353021 by 78.

Step 1:
When dividing 3 by 78, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 78

Advancing to step 2:
35 divided by 78 is 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Bring next digit (3) of the dividend behind the 35 and repeat the process: 353 / 78

On to step 3:
The number 78 fits into 353 4 times, leaving a remainder of 41.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 312 from 353 leaves us with 41.
Bring next digit (0) of the dividend behind the 41 and repeat the process: 410 / 78

Going ahead to step 4:
410 divided by 78 is 5 with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
Subtracting 390 from 410 leaves us with 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 78

Going ahead to step 5:
78 goes into 202 2 times with a remainder of 46.
Use 2 as the next digit of our solution. 
Result so far: 452.0
The remainder is 46 after subtracting 156 from 202.
Fetch the next digit (1) from the dividend, attach it to 46 and continue: 461 / 78

Step 6:
461 divided by 78 is 5 with a remainder of 71.
Use 5 as the next digit of our solution. 
Result so far: 4525.0
If we subtract 390 from 461, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 7:
710 divided by 78 is 9 with a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 4525.9
Deduct 702 from 710 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
The number 78 fits into 80 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 4525.91
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
78 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 4525.91
If we take 0 away from 20, we end up with 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 10:
78 goes into 200 2 times with a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 4525.9102
Subtracting 156 from 200 leaves us 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.

Moving on to step 11:
440 divided by 78 is 5 with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 4525.91025
Subtracting 390 from 440 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 12:
The number 78 fits into 500 6 times, leaving a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 4525.910256
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.

On to step 13:
78 can be fit into 320 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 4525.9102564
Deduct 312 from 320 and we're left with 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 14:
78 can be fit into 80 1 times, resulting in a remainder of 2.
The next digit of our result is 1. 
Result so far: 4525.91025641
Deduct 78 from 80 and we're left 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.

Our division results in 4525.91025641 with a remaining 2e-09.