We look at the division of 378649 by 42 
We want to figure out the number of times 378649 can be divided by 42.

On to step 1:
3 divided by 42 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 42

Advancing to step 2:
The number 42 fits into 37 0 times, leaving a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Include the next digit (8) from the dividend after 37, then repeat: 378 / 42

Moving on to step 3:
42 can be fit into 378 9 times, resulting in a remainder of 0.
The next digit of our result is 9. 
Result so far: 9.0
If we take 378 away from 378, we end up with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 42

Advancing to step 4:
6 divided by 42 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 90.0
Subtract 0 from 6 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 42

Moving on to step 5:
If we divide 64 by 42, we get 1 and a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 901.0
Deduct 42 from 64 and we're left with 22.
Take the next digit (9) from the dividend and append it to 22, then repeat: 229 / 42

Going ahead to step 6:
When dividing 229 by 42, we get 5 with a remainder of 19.
Write down 5 as next digit of the result. 
Result so far: 9015.0
Subtracting 210 from 229 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
42 can be fit into 190 4 times, resulting in a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 9015.4
Deduct 168 from 190 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 8:
If we divide 220 by 42, we get 5 and a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 9015.45
If we subtract 210 from 220, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
The number 42 fits into 100 2 times, leaving a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 9015.452
The remainder is 16 after subtracting 84 from 100.
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 10:
160 divided by 42 is 3 with a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 9015.4523
Subtract 126 from 160 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 11:
When dividing 340 by 42, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 9015.45238
If we subtract 336 from 340, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
When dividing 40 by 42, we get 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 9015.45238
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 13:
42 goes into 400 9 times with a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 9015.4523809
Deduct 378 from 400 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 14:
If we divide 220 by 42, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 9015.45238095
If we take 210 away from 220, we end up 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.

After the division, we end up with 9015.45238095 and a remainder of 1e-08.