431777 divided by 78 
We want to figure out the number of times 431777 can be divided by 78.

On to step 1:
78 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
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

Moving on to step 2:
78 goes into 43 0 times with a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Include the next digit (1) from the dividend after 43, then repeat: 431 / 78

Step 3:
If we divide 431 by 78, we get 5 and a remainder of 41.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 41 after subtracting 390 from 431.
Grab the next digit (7) from the dividend, add it to 41, then carry on: 417 / 78

Let's proceed to step 4:
When dividing 417 by 78, we get 5 with a remainder of 27.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
Deduct 390 from 417 and we're left with 27.
Append the next digit (7) from the dividend to 27 and continue with: 277 / 78

Going ahead to step 5:
If we divide 277 by 78, we get 3 and a remainder of 43.
Use 3 as the next digit of our solution. 
Result so far: 553.0
If we subtract 234 from 277, we get 43.
Fetch the next digit (7) from the dividend, attach it to 43 and continue: 437 / 78

Advancing to step 6:
78 can be fit into 437 5 times, resulting in a remainder of 47.
Put 5 as the next digit of the answer. 
Result so far: 5535.0
Subtract 390 from 437 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 7:
If we divide 470 by 78, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 5535.6
If we subtract 468 from 470, 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.

Advancing to step 8:
20 divided by 78 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5535.6
Subtract 0 from 20 to get 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 9:
78 goes into 200 2 times with a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 5535.602
The remainder is 44 after subtracting 156 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 10:
440 divided by 78 is 5 with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 5535.6025
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.

On to step 11:
78 can be fit into 500 6 times, resulting in a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 5535.60256
The remainder is 32 after subtracting 468 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 12:
When dividing 320 by 78, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 5535.602564
If we take 312 away from 320, we end up 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 13:
78 goes into 80 1 times with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 5535.6025641
The remainder is 2 after subtracting 78 from 80.
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 14:
20 divided by 78 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 5535.6025641
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 5535.6025641, and the remainder is 2e-08.