We look at the division of 379409 by 46 
We want to figure out the number of times 379409 can be divided by 46.

Advancing to step 1:
46 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
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 / 46

Advancing to step 2:
The number 46 fits into 37 0 times, leaving a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Include the next digit (9) from the dividend after 37, then repeat: 379 / 46

Going ahead to step 3:
When dividing 379 by 46, we get 8 with a remainder of 11.
The next digit of our result is 8. 
Result so far: 8.0
If we take 368 away from 379, we end up with 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 46

On to step 4:
The number 46 fits into 114 2 times, leaving a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 82.0
The remainder is 22 after subtracting 92 from 114.
Fetch the next digit (0) from the dividend, attach it to 22 and continue: 220 / 46

Advancing to step 5:
The number 46 fits into 220 4 times, leaving a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 824.0
Subtract 184 from 220 to get 36.
Bring next digit (9) of the dividend behind the 36 and repeat the process: 369 / 46

Step 6:
When dividing 369 by 46, we get 8 with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 8248.0
If we take 368 away from 369, we end up with 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 7:
46 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 8248.0
Subtract 0 from 10 to 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.

Going ahead to step 8:
The number 46 fits into 100 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 8248.02
If we subtract 92 from 100, we get 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 9:
46 goes into 80 1 times with a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 8248.021
Subtract 46 from 80 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 10:
The number 46 fits into 340 7 times, leaving a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 8248.0217
If we take 322 away from 340, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 11:
If we divide 180 by 46, we get 3 and a remainder of 42.
The next digit of our result is 3. 
Result so far: 8248.02173
If we take 138 away from 180, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 12:
If we divide 420 by 46, we get 9 and a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 8248.021739
The remainder is 6 after subtracting 414 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
When dividing 60 by 46, we get 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 8248.0217391
The remainder is 14 after subtracting 46 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 14:
46 can be fit into 140 3 times, resulting in a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 8248.02173913
Subtracting 138 from 140 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.

The quotient of the division is 8248.02173913, and the remainder is 2e-09.