733319 ÷ 971 
We want to figure out the number of times 733319 can be divided by 971.

Let's proceed to step 1:
7 divided by 971 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 971

Advancing to step 2:
73 divided by 971 is 0 with a remainder of 73.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 73, we get 73.
Append the next digit (3) from the dividend to 73 and continue with: 733 / 971

On to step 3:
If we divide 733 by 971, we get 0 and a remainder of 733.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 733 after subtracting 0 from 733.
Bring next digit (3) of the dividend behind the 733 and repeat the process: 7333 / 971

On to step 4:
971 can be fit into 7333 7 times, resulting in a remainder of 536.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 6797 away from 7333, we end up with 536.
Take the next digit (1) from the dividend and append it to 536, then repeat: 5361 / 971

Let's proceed to step 5:
When dividing 5361 by 971, we get 5 with a remainder of 506.
Record the quotient 5 as the next digit in the result. 
Result so far: 75.0
If we take 4855 away from 5361, we end up with 506.
Fetch the next digit (9) from the dividend, attach it to 506 and continue: 5069 / 971

On to step 6:
When dividing 5069 by 971, we get 5 with a remainder of 214.
Put 5 as the next digit of the answer. 
Result so far: 755.0
Subtracting 4855 from 5069 leaves us with 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Advancing to step 7:
2140 divided by 971 is 2 with a remainder of 198.
Use 2 as the next digit of our solution. 
Result so far: 755.2
Subtracting 1942 from 2140 leaves us with 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

Moving on to step 8:
When dividing 1980 by 971, we get 2 with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 755.22
If we take 1942 away from 1980, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 755.22 and a remainder of 0.038.