5790419 ÷ 665 
We're looking to find how many times 665 goes into 5790419.

On to step 1:
If we divide 5 by 665, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 665

On to step 2:
If we divide 57 by 665, we get 0 and a remainder of 57.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 57 leaves us with 57.
Grab the next digit (9) from the dividend, add it to 57, then carry on: 579 / 665

Step 3:
If we divide 579 by 665, we get 0 and a remainder of 579.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 579 after subtracting 0 from 579.
Take the next digit (0) from the dividend and append it to 579, then repeat: 5790 / 665

Moving on to step 4:
When dividing 5790 by 665, we get 8 with a remainder of 470.
The next digit of our result is 8. 
Result so far: 8.0
If we take 5320 away from 5790, we end up with 470.
Grab the next digit (4) from the dividend, add it to 470, then carry on: 4704 / 665

Moving on to step 5:
The number 665 fits into 4704 7 times, leaving a remainder of 49.
Write down 7 as next digit of the result. 
Result so far: 87.0
If we take 4655 away from 4704, we end up with 49.
Append the next digit (1) from the dividend to 49 and continue with: 491 / 665

Let's proceed to step 6:
665 can be fit into 491 0 times, resulting in a remainder of 491.
Put 0 as the next digit of the answer. 
Result so far: 870.0
The remainder is 491 after subtracting 0 from 491.
Include the next digit (9) from the dividend after 491, then repeat: 4919 / 665

Let's proceed to step 7:
4919 divided by 665 is 7 with a remainder of 264.
Record the quotient 7 as the next digit in the result. 
Result so far: 8707.0
If we subtract 4655 from 4919, we get 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Advancing to step 8:
2640 divided by 665 is 3 with a remainder of 645.
Put 3 as the next digit of the answer. 
Result so far: 8707.3
Subtracting 1995 from 2640 leaves us with 645.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6450, and continue the process.

Going ahead to step 9:
If we divide 6450 by 665, we get 9 and a remainder of 465.
Use 9 as the next digit of our solution. 
Result so far: 8707.39
The remainder is 465 after subtracting 5985 from 6450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4650, and continue the process.

Step 10:
If we divide 4650 by 665, we get 6 and a remainder of 660.
Write down 6 as next digit of the result. 
Result so far: 8707.396
Subtracting 3990 from 4650 leaves us with 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6600, and continue the process.

Step 11:
If we divide 6600 by 665, we get 9 and a remainder of 615.
Put 9 as the next digit of the answer. 
Result so far: 8707.3969
The remainder is 615 after subtracting 5985 from 6600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6150, and continue the process.

Going ahead to step 12:
If we divide 6150 by 665, we get 9 and a remainder of 165.
Write down 9 as next digit of the result. 
Result so far: 8707.39699
The remainder is 165 after subtracting 5985 from 6150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1650, and continue the process.

The final result is 8707.39699 with a remainder of 0.000165.