We look at the division of 663579 by 46 
Our goal is to divide 663579 by 46.

On to step 1:
If we divide 6 by 46, we get 0 and 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.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 46

Advancing to step 2:
66 divided by 46 is 1 with a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 46 from 66, we get 20.
Fetch the next digit (3) from the dividend, attach it to 20 and continue: 203 / 46

Let's proceed to step 3:
If we divide 203 by 46, we get 4 and a remainder of 19.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtract 184 from 203 to get 19.
Bring next digit (5) of the dividend behind the 19 and repeat the process: 195 / 46

Advancing to step 4:
46 can be fit into 195 4 times, resulting in a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 144.0
Subtracting 184 from 195 leaves us with 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 46

Moving on to step 5:
46 can be fit into 117 2 times, resulting in a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 1442.0
If we take 92 away from 117, we end up with 25.
Bring next digit (9) of the dividend behind the 25 and repeat the process: 259 / 46

Step 6:
46 goes into 259 5 times with a remainder of 29.
The next digit of our result is 5. 
Result so far: 14425.0
The remainder is 29 after subtracting 230 from 259.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
46 goes into 290 6 times with a remainder of 14.
The next digit of our result is 6. 
Result so far: 14425.6
Subtract 276 from 290 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
The number 46 fits into 140 3 times, leaving a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 14425.63
If we subtract 138 from 140, 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 9:
When dividing 20 by 46, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 14425.63
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 10:
When dividing 200 by 46, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 14425.6304
The remainder is 16 after subtracting 184 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
If we divide 160 by 46, we get 3 and a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 14425.63043
If we take 138 away from 160, we end up 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 12:
46 goes into 220 4 times with a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 14425.630434
Deduct 184 from 220 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 13:
The number 46 fits into 360 7 times, leaving a remainder of 38.
The next digit of our result is 7. 
Result so far: 14425.6304347
The remainder is 38 after subtracting 322 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 14:
When dividing 380 by 46, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 14425.63043478
Subtract 368 from 380 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 14425.63043478 with a remaining 1.2e-08.