Let's divide 584933 by 667
Our goal is to divide 584933 by 667.

Going ahead to step 1:
When dividing 5 by 667, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 667

Advancing to step 2:
When dividing 58 by 667, we get 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Grab the next digit (4) from the dividend, add it to 58, then carry on: 584 / 667

On to step 3:
667 can be fit into 584 0 times, resulting in a remainder of 584.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 584 to get 584.
Take the next digit (9) from the dividend and append it to 584, then repeat: 5849 / 667

Advancing to step 4:
667 can be fit into 5849 8 times, resulting in a remainder of 513.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 5336 from 5849 to get 513.
Take the next digit (3) from the dividend and append it to 513, then repeat: 5133 / 667

Let's proceed to step 5:
667 goes into 5133 7 times with a remainder of 464.
The number 7 becomes the next digit in our result. 
Result so far: 87.0
If we subtract 4669 from 5133, we get 464.
Take the next digit (3) from the dividend and append it to 464, then repeat: 4643 / 667

Step 6:
When dividing 4643 by 667, we get 6 with a remainder of 641.
Put 6 as the next digit of the answer. 
Result so far: 876.0
Deduct 4002 from 4643 and we're left with 641.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6410, and continue the process.

Advancing to step 7:
When dividing 6410 by 667, we get 9 with a remainder of 407.
Write down 9 as next digit of the result. 
Result so far: 876.9
Subtract 6003 from 6410 to get 407.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4070, and continue the process.

Advancing to step 8:
If we divide 4070 by 667, we get 6 and a remainder of 68.
Use 6 as the next digit of our solution. 
Result so far: 876.96
Subtracting 4002 from 4070 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 9:
680 divided by 667 is 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 876.961
If we take 667 away from 680, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 10:
667 can be fit into 130 0 times, resulting in a remainder of 130.
The next digit of our result is 0. 
Result so far: 876.961
Subtracting 0 from 130 leaves us with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Advancing to step 11:
667 goes into 1300 1 times with a remainder of 633.
Use 1 as the next digit of our solution. 
Result so far: 876.96101
If we subtract 667 from 1300, we get 633.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6330, and continue the process.

Let's proceed to step 12:
6330 divided by 667 is 9 with a remainder of 327.
Put 9 as the next digit of the answer. 
Result so far: 876.961019
If we subtract 6003 from 6330, we get 327.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3270, and continue the process.

Moving on to step 13:
If we divide 3270 by 667, we get 4 and a remainder of 602.
Record the quotient 4 as the next digit in the result. 
Result so far: 876.9610194
Subtracting 2668 from 3270 leaves us with 602.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6020, and continue the process.

Moving on to step 14:
6020 divided by 667 is 9 with a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 876.96101949
Deduct 6003 from 6020 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

After the division, we end up with 876.96101949 and a remainder of 1.7e-08.