We look at the division of 6433279 by 667 
We want to figure out the number of times 6433279 can be divided by 667.

Moving on to step 1:
6 divided by 667 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 667

Let's proceed to step 2:
64 divided by 667 is 0 with a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Grab the next digit (3) from the dividend, add it to 64, then carry on: 643 / 667

On to step 3:
When dividing 643 by 667, we get 0 with a remainder of 643.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 643, we end up with 643.
Append the next digit (3) from the dividend to 643 and continue with: 6433 / 667

Going ahead to step 4:
The number 667 fits into 6433 9 times, leaving a remainder of 430.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 6003 from 6433, we get 430.
Bring next digit (2) of the dividend behind the 430 and repeat the process: 4302 / 667

Advancing to step 5:
4302 divided by 667 is 6 with a remainder of 300.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
Deduct 4002 from 4302 and we're left with 300.
Include the next digit (7) from the dividend after 300, then repeat: 3007 / 667

Moving on to step 6:
667 goes into 3007 4 times with a remainder of 339.
Use 4 as the next digit of our solution. 
Result so far: 964.0
If we take 2668 away from 3007, we end up with 339.
Take the next digit (9) from the dividend and append it to 339, then repeat: 3399 / 667

Let's proceed to step 7:
667 can be fit into 3399 5 times, resulting in a remainder of 64.
Use 5 as the next digit of our solution. 
Result so far: 9645.0
Subtracting 3335 from 3399 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 8:
640 divided by 667 is 0 with a remainder of 640.
The number 0 becomes the next digit in our result. 
Result so far: 9645.0
Deduct 0 from 640 and we're left with 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6400, and continue the process.

Advancing to step 9:
The number 667 fits into 6400 9 times, leaving a remainder of 397.
The number 9 becomes the next digit in our result. 
Result so far: 9645.09
If we subtract 6003 from 6400, we get 397.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3970, and continue the process.

Advancing to step 10:
When dividing 3970 by 667, we get 5 with a remainder of 635.
Use 5 as the next digit of our solution. 
Result so far: 9645.095
Subtract 3335 from 3970 to get 635.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6350, and continue the process.

Let's proceed to step 11:
The number 667 fits into 6350 9 times, leaving a remainder of 347.
Write down 9 as next digit of the result. 
Result so far: 9645.0959
Subtracting 6003 from 6350 leaves us with 347.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3470, and continue the process.

On to step 12:
667 goes into 3470 5 times with a remainder of 135.
Use 5 as the next digit of our solution. 
Result so far: 9645.09595
If we take 3335 away from 3470, we end up with 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Advancing to step 13:
When dividing 1350 by 667, we get 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 9645.095952
If we take 1334 away from 1350, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 14:
The number 667 fits into 160 0 times, leaving a remainder of 160.
Use 0 as the next digit of our solution. 
Result so far: 9645.095952
If we subtract 0 from 160, we get 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Moving on to step 15:
The number 667 fits into 1600 2 times, leaving a remainder of 266.
The number 2 becomes the next digit in our result. 
Result so far: 9645.09595202
If we subtract 1334 from 1600, we get 266.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2660, and continue the process.

In conclusion, the division gives 9645.09595202 with a balance of 2.66e-07.