4644657 divided by 334 
We're looking to find how many times 334 goes into 4644657.

Going ahead to step 1:
334 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 334

Advancing to step 2:
If we divide 46 by 334, we get 0 and a remainder of 46.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 46 to get 46.
Fetch the next digit (4) from the dividend, attach it to 46 and continue: 464 / 334

Going ahead to step 3:
334 goes into 464 1 times with a remainder of 130.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 130 after subtracting 334 from 464.
Bring next digit (4) of the dividend behind the 130 and repeat the process: 1304 / 334

Let's proceed to step 4:
The number 334 fits into 1304 3 times, leaving a remainder of 302.
The next digit of our result is 3. 
Result so far: 13.0
If we subtract 1002 from 1304, we get 302.
Include the next digit (6) from the dividend after 302, then repeat: 3026 / 334

On to step 5:
334 can be fit into 3026 9 times, resulting in a remainder of 20.
The next digit of our result is 9. 
Result so far: 139.0
The remainder is 20 after subtracting 3006 from 3026.
Append the next digit (5) from the dividend to 20 and continue with: 205 / 334

Moving on to step 6:
If we divide 205 by 334, we get 0 and a remainder of 205.
Write down 0 as next digit of the result. 
Result so far: 1390.0
The remainder is 205 after subtracting 0 from 205.
Take the next digit (7) from the dividend and append it to 205, then repeat: 2057 / 334

On to step 7:
The number 334 fits into 2057 6 times, leaving a remainder of 53.
The next digit of our result is 6. 
Result so far: 13906.0
Subtract 2004 from 2057 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 8:
When dividing 530 by 334, we get 1 with a remainder of 196.
Put 1 as the next digit of the answer. 
Result so far: 13906.1
Deduct 334 from 530 and we're left with 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Step 9:
334 goes into 1960 5 times with a remainder of 290.
Put 5 as the next digit of the answer. 
Result so far: 13906.15
The remainder is 290 after subtracting 1670 from 1960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Step 10:
If we divide 2900 by 334, we get 8 and a remainder of 228.
Write down 8 as next digit of the result. 
Result so far: 13906.158
The remainder is 228 after subtracting 2672 from 2900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2280, and continue the process.

Advancing to step 11:
When dividing 2280 by 334, we get 6 with a remainder of 276.
Put 6 as the next digit of the answer. 
Result so far: 13906.1586
If we subtract 2004 from 2280, we get 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

Moving on to step 12:
334 can be fit into 2760 8 times, resulting in a remainder of 88.
Record the quotient 8 as the next digit in the result. 
Result so far: 13906.15868
Deduct 2672 from 2760 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

On to step 13:
The number 334 fits into 880 2 times, leaving a remainder of 212.
Put 2 as the next digit of the answer. 
Result so far: 13906.158682
If we subtract 668 from 880, we get 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

Step 14:
If we divide 2120 by 334, we get 6 and a remainder of 116.
The next digit of our result is 6. 
Result so far: 13906.1586826
Subtract 2004 from 2120 to get 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

On to step 15:
If we divide 1160 by 334, we get 3 and a remainder of 158.
The next digit of our result is 3. 
Result so far: 13906.15868263
Subtracting 1002 from 1160 leaves us with 158.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1580, and continue the process.

In conclusion, the division gives 13906.15868263 with a balance of 1.58e-07.