We look at the division of 6666965 by 449 
Our goal is to divide 6666965 by 449.

Moving on to step 1:
449 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 449

Advancing to step 2:
When dividing 66 by 449, we get 0 with a remainder of 66.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 66 leaves us with 66.
Grab the next digit (6) from the dividend, add it to 66, then carry on: 666 / 449

Let's proceed to step 3:
The number 449 fits into 666 1 times, leaving a remainder of 217.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 217 after subtracting 449 from 666.
Take the next digit (6) from the dividend and append it to 217, then repeat: 2176 / 449

Advancing to step 4:
If we divide 2176 by 449, we get 4 and a remainder of 380.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Deduct 1796 from 2176 and we're left with 380.
Take the next digit (9) from the dividend and append it to 380, then repeat: 3809 / 449

Moving on to step 5:
449 goes into 3809 8 times with a remainder of 217.
The next digit of our result is 8. 
Result so far: 148.0
Subtract 3592 from 3809 to get 217.
Append the next digit (6) from the dividend to 217 and continue with: 2176 / 449

On to step 6:
449 can be fit into 2176 4 times, resulting in a remainder of 380.
The number 4 becomes the next digit in our result. 
Result so far: 1484.0
Deduct 1796 from 2176 and we're left with 380.
Append the next digit (5) from the dividend to 380 and continue with: 3805 / 449

Let's proceed to step 7:
When dividing 3805 by 449, we get 8 with a remainder of 213.
Put 8 as the next digit of the answer. 
Result so far: 14848.0
Subtracting 3592 from 3805 leaves us with 213.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2130, and continue the process.

Moving on to step 8:
449 goes into 2130 4 times with a remainder of 334.
The next digit of our result is 4. 
Result so far: 14848.4
If we take 1796 away from 2130, we end up with 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

On to step 9:
449 goes into 3340 7 times with a remainder of 197.
Put 7 as the next digit of the answer. 
Result so far: 14848.47
Subtract 3143 from 3340 to get 197.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1970, and continue the process.

Advancing to step 10:
If we divide 1970 by 449, we get 4 and a remainder of 174.
Put 4 as the next digit of the answer. 
Result so far: 14848.474
If we subtract 1796 from 1970, we get 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

On to step 11:
The number 449 fits into 1740 3 times, leaving a remainder of 393.
The number 3 becomes the next digit in our result. 
Result so far: 14848.4743
The remainder is 393 after subtracting 1347 from 1740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3930, and continue the process.

Moving on to step 12:
449 can be fit into 3930 8 times, resulting in a remainder of 338.
The number 8 becomes the next digit in our result. 
Result so far: 14848.47438
Subtracting 3592 from 3930 leaves us with 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

Step 13:
The number 449 fits into 3380 7 times, leaving a remainder of 237.
The number 7 becomes the next digit in our result. 
Result so far: 14848.474387
Subtract 3143 from 3380 to get 237.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2370, and continue the process.

Let's proceed to step 14:
The number 449 fits into 2370 5 times, leaving a remainder of 125.
Record the quotient 5 as the next digit in the result. 
Result so far: 14848.4743875
If we subtract 2245 from 2370, we get 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

Let's proceed to step 15:
1250 divided by 449 is 2 with a remainder of 352.
Record the quotient 2 as the next digit in the result. 
Result so far: 14848.47438752
Deduct 898 from 1250 and we're left with 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

After the division, we end up with 14848.47438752 and a remainder of 3.52e-07.