Let's divide 507214 by 78
Our goal is to divide 507214 by 78.

Going ahead to step 1:
If we divide 5 by 78, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 78

On to step 2:
The number 78 fits into 50 0 times, leaving a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Append the next digit (7) from the dividend to 50 and continue with: 507 / 78

On to step 3:
78 goes into 507 6 times with a remainder of 39.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 468 from 507 and we're left with 39.
Append the next digit (2) from the dividend to 39 and continue with: 392 / 78

Going ahead to step 4:
78 goes into 392 5 times with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 65.0
If we take 390 away from 392, we end up with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 78

On to step 5:
When dividing 21 by 78, we get 0 with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 650.0
Subtracting 0 from 21 leaves us with 21.
Include the next digit (4) from the dividend after 21, then repeat: 214 / 78

Going ahead to step 6:
When dividing 214 by 78, we get 2 with a remainder of 58.
The next digit of our result is 2. 
Result so far: 6502.0
Subtract 156 from 214 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 7:
If we divide 580 by 78, we get 7 and a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 6502.7
The remainder is 34 after subtracting 546 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
When dividing 340 by 78, we get 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 6502.74
If we subtract 312 from 340, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
78 can be fit into 280 3 times, resulting in a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 6502.743
Subtracting 234 from 280 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 10:
If we divide 460 by 78, we get 5 and a remainder of 70.
The next digit of our result is 5. 
Result so far: 6502.7435
Subtracting 390 from 460 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 11:
78 goes into 700 8 times with a remainder of 76.
Put 8 as the next digit of the answer. 
Result so far: 6502.74358
Subtracting 624 from 700 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 12:
The number 78 fits into 760 9 times, leaving a remainder of 58.
Write down 9 as next digit of the result. 
Result so far: 6502.743589
If we take 702 away from 760, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 13:
78 goes into 580 7 times with a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 6502.7435897
Subtracting 546 from 580 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 14:
78 goes into 340 4 times with a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 6502.74358974
Deduct 312 from 340 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 6502.74358974, and the remainder is 2.8e-08.