We're dividing 421777 by 78 
Our goal is to divide 421777 by 78.

Moving on to step 1:
78 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 78

Going ahead to step 2:
If we divide 42 by 78, we get 0 and a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Grab the next digit (1) from the dividend, add it to 42, then carry on: 421 / 78

Advancing to step 3:
When dividing 421 by 78, we get 5 with a remainder of 31.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 390 away from 421, we end up with 31.
Take the next digit (7) from the dividend and append it to 31, then repeat: 317 / 78

Going ahead to step 4:
If we divide 317 by 78, we get 4 and a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 54.0
Subtract 312 from 317 to get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 78

Going ahead to step 5:
78 goes into 57 0 times with a remainder of 57.
Record the quotient 0 as the next digit in the result. 
Result so far: 540.0
The remainder is 57 after subtracting 0 from 57.
Append the next digit (7) from the dividend to 57 and continue with: 577 / 78

Moving on to step 6:
The number 78 fits into 577 7 times, leaving a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 5407.0
If we subtract 546 from 577, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 7:
78 can be fit into 310 3 times, resulting in a remainder of 76.
Put 3 as the next digit of the answer. 
Result so far: 5407.3
If we subtract 234 from 310, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 8:
78 goes into 760 9 times with a remainder of 58.
Use 9 as the next digit of our solution. 
Result so far: 5407.39
Subtracting 702 from 760 leaves us 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 9:
If we divide 580 by 78, we get 7 and a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 5407.397
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.

Let's proceed to step 10:
78 can be fit into 340 4 times, resulting in a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 5407.3974
Subtracting 312 from 340 leaves us 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.

Let's proceed to step 11:
If we divide 280 by 78, we get 3 and a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 5407.39743
Deduct 234 from 280 and we're left 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.

Step 12:
If we divide 460 by 78, we get 5 and a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 5407.397435
Deduct 390 from 460 and we're left 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.

Advancing to step 13:
The number 78 fits into 700 8 times, leaving a remainder of 76.
Put 8 as the next digit of the answer. 
Result so far: 5407.3974358
If we take 624 away from 700, we end up 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.

On to step 14:
78 can be fit into 760 9 times, resulting in a remainder of 58.
Put 9 as the next digit of the answer. 
Result so far: 5407.39743589
Subtract 702 from 760 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.

Our division results in 5407.39743589 with a remaining 5.8e-08.