We divide 678164 by 19
We want to divide 678164 by 19.

On to step 1:
6 divided by 19 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 19

Moving on to step 2:
19 can be fit into 67 3 times, resulting in a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 57 away from 67, we end up with 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 19

Step 3:
108 divided by 19 is 5 with a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Subtract 95 from 108 to get 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 19

Advancing to step 4:
131 divided by 19 is 6 with a remainder of 17.
Record the quotient 6 as the next digit in the result. 
Result so far: 356.0
Deduct 114 from 131 and we're left with 17.
Include the next digit (6) from the dividend after 17, then repeat: 176 / 19

Advancing to step 5:
19 goes into 176 9 times with a remainder of 5.
The next digit of our result is 9. 
Result so far: 3569.0
Subtracting 171 from 176 leaves us with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 19

On to step 6:
If we divide 54 by 19, we get 2 and a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 35692.0
If we take 38 away from 54, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
19 goes into 160 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 35692.8
If we take 152 away from 160, 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.

Step 8:
19 goes into 80 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 35692.84
Subtracting 76 from 80 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
When dividing 40 by 19, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 35692.842
If we subtract 38 from 40, 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.

Moving on to step 10:
When dividing 20 by 19, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 35692.8421
If we subtract 19 from 20, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 11:
When dividing 10 by 19, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 35692.8421
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
19 can be fit into 100 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 35692.842105
If we subtract 95 from 100, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
When dividing 50 by 19, we get 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 35692.8421052
Subtracting 38 from 50 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 14:
120 divided by 19 is 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 35692.84210526
Deduct 114 from 120 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 35692.84210526 with a balance of 6e-09.