638219 divided by 78 
Our goal is to divide 638219 by 78.

Advancing to step 1:
When dividing 6 by 78, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 78

Going ahead to step 2:
78 can be fit into 63 0 times, resulting in a remainder of 63.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Bring next digit (8) of the dividend behind the 63 and repeat the process: 638 / 78

Step 3:
If we divide 638 by 78, we get 8 and a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 14 after subtracting 624 from 638.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 78

Step 4:
The number 78 fits into 142 1 times, leaving a remainder of 64.
Put 1 as the next digit of the answer. 
Result so far: 81.0
If we take 78 away from 142, we end up with 64.
Grab the next digit (1) from the dividend, add it to 64, then carry on: 641 / 78

Let's proceed to step 5:
If we divide 641 by 78, we get 8 and a remainder of 17.
Use 8 as the next digit of our solution. 
Result so far: 818.0
The remainder is 17 after subtracting 624 from 641.
Grab the next digit (9) from the dividend, add it to 17, then carry on: 179 / 78

Going ahead to step 6:
179 divided by 78 is 2 with a remainder of 23.
Use 2 as the next digit of our solution. 
Result so far: 8182.0
If we subtract 156 from 179, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 7:
78 goes into 230 2 times with a remainder of 74.
The next digit of our result is 2. 
Result so far: 8182.2
Subtract 156 from 230 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 8:
When dividing 740 by 78, we get 9 with a remainder of 38.
The next digit of our result is 9. 
Result so far: 8182.29
If we subtract 702 from 740, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 9:
78 can be fit into 380 4 times, resulting in a remainder of 68.
Put 4 as the next digit of the answer. 
Result so far: 8182.294
Deduct 312 from 380 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 10:
When dividing 680 by 78, we get 8 with a remainder of 56.
Put 8 as the next digit of the answer. 
Result so far: 8182.2948
If we subtract 624 from 680, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 11:
560 divided by 78 is 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 8182.29487
Subtracting 546 from 560 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 12:
78 can be fit into 140 1 times, resulting in a remainder of 62.
Put 1 as the next digit of the answer. 
Result so far: 8182.294871
If we take 78 away from 140, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 13:
620 divided by 78 is 7 with a remainder of 74.
The next digit of our result is 7. 
Result so far: 8182.2948717
Subtracting 546 from 620 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 14:
When dividing 740 by 78, we get 9 with a remainder of 38.
Put 9 as the next digit of the answer. 
Result so far: 8182.29487179
If we take 702 away from 740, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The quotient of the division is 8182.29487179, and the remainder is 3.8e-08.