We're dividing 30433578 by 959 
We want to figure out the number of times 30433578 can be divided by 959.

Advancing to step 1:
If we divide 3 by 959, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 959

Advancing to step 2:
30 divided by 959 is 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Fetch the next digit (4) from the dividend, attach it to 30 and continue: 304 / 959

Let's proceed to step 3:
If we divide 304 by 959, we get 0 and a remainder of 304.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 304 leaves us with 304.
Append the next digit (3) from the dividend to 304 and continue with: 3043 / 959

On to step 4:
3043 divided by 959 is 3 with a remainder of 166.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 2877 from 3043 and we're left with 166.
Include the next digit (3) from the dividend after 166, then repeat: 1663 / 959

On to step 5:
When dividing 1663 by 959, we get 1 with a remainder of 704.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
The remainder is 704 after subtracting 959 from 1663.
Bring next digit (5) of the dividend behind the 704 and repeat the process: 7045 / 959

Step 6:
959 can be fit into 7045 7 times, resulting in a remainder of 332.
Use 7 as the next digit of our solution. 
Result so far: 317.0
If we take 6713 away from 7045, we end up with 332.
Take the next digit (7) from the dividend and append it to 332, then repeat: 3327 / 959

On to step 7:
959 goes into 3327 3 times with a remainder of 450.
The number 3 becomes the next digit in our result. 
Result so far: 3173.0
If we take 2877 away from 3327, we end up with 450.
Append the next digit (8) from the dividend to 450 and continue with: 4508 / 959

Going ahead to step 8:
4508 divided by 959 is 4 with a remainder of 672.
Use 4 as the next digit of our solution. 
Result so far: 31734.0
If we take 3836 away from 4508, we end up with 672.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6720, and continue the process.

On to step 9:
959 can be fit into 6720 7 times, resulting in a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 31734.7
Subtracting 6713 from 6720 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 10:
959 goes into 70 0 times with a remainder of 70.
The next digit of our result is 0. 
Result so far: 31734.7
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 11:
If we divide 700 by 959, we get 0 and a remainder of 700.
The number 0 becomes the next digit in our result. 
Result so far: 31734.7
The remainder is 700 after subtracting 0 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7000, and continue the process.

After the division, we end up with 31734.7 and a remainder of 0.07.