308960 ÷ 46 
Our goal is to divide 308960 by 46.

Let's proceed to step 1:
46 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 46

Moving on to step 2:
If we divide 30 by 46, we get 0 and a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Include the next digit (8) from the dividend after 30, then repeat: 308 / 46

On to step 3:
If we divide 308 by 46, we get 6 and a remainder of 32.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 276 from 308 and we're left with 32.
Append the next digit (9) from the dividend to 32 and continue with: 329 / 46

Step 4:
The number 46 fits into 329 7 times, leaving a remainder of 7.
The next digit of our result is 7. 
Result so far: 67.0
Subtract 322 from 329 to get 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 46

Moving on to step 5:
The number 46 fits into 76 1 times, leaving a remainder of 30.
Put 1 as the next digit of the answer. 
Result so far: 671.0
Deduct 46 from 76 and we're left with 30.
Append the next digit (0) from the dividend to 30 and continue with: 300 / 46

On to step 6:
If we divide 300 by 46, we get 6 and a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 6716.0
The remainder is 24 after subtracting 276 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
240 divided by 46 is 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 6716.5
Deduct 230 from 240 and we're left 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.

Step 8:
When dividing 100 by 46, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 6716.52
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.

Step 9:
The number 46 fits into 80 1 times, leaving a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 6716.521
If we subtract 46 from 80, we 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.

Going ahead to step 10:
46 can be fit into 340 7 times, resulting in a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 6716.5217
If we subtract 322 from 340, we get 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:
When dividing 180 by 46, we get 3 with a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 6716.52173
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:
When dividing 420 by 46, we get 9 with a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 6716.521739
If we take 414 away from 420, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
46 goes into 60 1 times with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 6716.5217391
Subtracting 46 from 60 leaves us with 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 14:
46 goes into 140 3 times with a remainder of 2.
The next digit of our result is 3. 
Result so far: 6716.52173913
Deduct 138 from 140 and we're left 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.

After the division, we end up with 6716.52173913 and a remainder of 2e-09.