Let's divide 378965 by 42
We're looking to find how many times 42 goes into 378965.

Going ahead to step 1:
3 divided by 42 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 42

Advancing to step 2:
42 goes into 37 0 times with a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Take the next digit (8) from the dividend and append it to 37, then repeat: 378 / 42

Let's proceed to step 3:
42 goes into 378 9 times with a remainder of 0.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 378 from 378 to get 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 42

On to step 4:
If we divide 9 by 42, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 90.0
If we subtract 0 from 9, we get 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 42

Moving on to step 5:
If we divide 96 by 42, we get 2 and a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 902.0
The remainder is 12 after subtracting 84 from 96.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 42

Advancing to step 6:
If we divide 125 by 42, we get 2 and a remainder of 41.
The next digit of our result is 2. 
Result so far: 9022.0
Deduct 84 from 125 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 7:
410 divided by 42 is 9 with a remainder of 32.
Put 9 as the next digit of the answer. 
Result so far: 9022.9
Subtracting 378 from 410 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 8:
If we divide 320 by 42, we get 7 and a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 9022.97
The remainder is 26 after subtracting 294 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 9:
When dividing 260 by 42, we get 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 9022.976
Deduct 252 from 260 and we're left 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.

Going ahead to step 10:
The number 42 fits into 80 1 times, leaving a remainder of 38.
The next digit of our result is 1. 
Result so far: 9022.9761
The remainder is 38 after subtracting 42 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 11:
380 divided by 42 is 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 9022.97619
Subtracting 378 from 380 leaves us with 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 12:
20 divided by 42 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 9022.97619
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
200 divided by 42 is 4 with a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 9022.9761904
If we take 168 away from 200, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 14:
When dividing 320 by 42, we get 7 with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 9022.97619047
The remainder is 26 after subtracting 294 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 9022.97619047, and the remainder is 2.6e-08.