We're dividing 594665 by 733 
We're looking to find how many times 733 goes into 594665.

On to step 1:
733 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 733

Going ahead to step 2:
If we divide 59 by 733, we get 0 and a remainder of 59.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 59 to get 59.
Fetch the next digit (4) from the dividend, attach it to 59 and continue: 594 / 733

Advancing to step 3:
733 can be fit into 594 0 times, resulting in a remainder of 594.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 594, we end up with 594.
Take the next digit (6) from the dividend and append it to 594, then repeat: 5946 / 733

Advancing to step 4:
When dividing 5946 by 733, we get 8 with a remainder of 82.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 5864 from 5946 and we're left with 82.
Grab the next digit (6) from the dividend, add it to 82, then carry on: 826 / 733

Moving on to step 5:
If we divide 826 by 733, we get 1 and a remainder of 93.
Write down 1 as next digit of the result. 
Result so far: 81.0
Deduct 733 from 826 and we're left with 93.
Fetch the next digit (5) from the dividend, attach it to 93 and continue: 935 / 733

Step 6:
733 goes into 935 1 times with a remainder of 202.
The number 1 becomes the next digit in our result. 
Result so far: 811.0
If we subtract 733 from 935, we get 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

Let's proceed to step 7:
When dividing 2020 by 733, we get 2 with a remainder of 554.
Put 2 as the next digit of the answer. 
Result so far: 811.2
If we take 1466 away from 2020, we end up with 554.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5540, and continue the process.

On to step 8:
5540 divided by 733 is 7 with a remainder of 409.
Write down 7 as next digit of the result. 
Result so far: 811.27
Deduct 5131 from 5540 and we're left with 409.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4090, and continue the process.

Moving on to step 9:
When dividing 4090 by 733, we get 5 with a remainder of 425.
Use 5 as the next digit of our solution. 
Result so far: 811.275
Deduct 3665 from 4090 and we're left with 425.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4250, and continue the process.

Moving on to step 10:
When dividing 4250 by 733, we get 5 with a remainder of 585.
Record the quotient 5 as the next digit in the result. 
Result so far: 811.2755
If we take 3665 away from 4250, we end up with 585.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5850, and continue the process.

The quotient of the division is 811.2755, and the remainder is 0.00585.