33306 ÷ 46 
We want to figure out the number of times 33306 can be divided by 46.

On to step 1:
46 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 46

Advancing to step 2:
33 divided by 46 is 0 with a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Include the next digit (3) from the dividend after 33, then repeat: 333 / 46

On to step 3:
If we divide 333 by 46, we get 7 and a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 322 from 333 and we're left with 11.
Bring next digit (0) of the dividend behind the 11 and repeat the process: 110 / 46

Step 4:
46 can be fit into 110 2 times, resulting in a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 72.0
Deduct 92 from 110 and we're left with 18.
Bring next digit (6) of the dividend behind the 18 and repeat the process: 186 / 46

Advancing to step 5:
46 goes into 186 4 times with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 724.0
If we take 184 away from 186, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 6:
If we divide 20 by 46, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 724.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
When dividing 200 by 46, we get 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 724.04
Deduct 184 from 200 and we're left 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.

Let's proceed to step 8:
When dividing 160 by 46, we get 3 with a remainder of 22.
The next digit of our result is 3. 
Result so far: 724.043
If we subtract 138 from 160, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
The number 46 fits into 220 4 times, leaving a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 724.0434
Subtract 184 from 220 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
46 goes into 360 7 times with a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 724.04347
Deduct 322 from 360 and we're left 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.

Step 11:
46 can be fit into 380 8 times, resulting in a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 724.043478
Subtract 368 from 380 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
When dividing 120 by 46, we get 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 724.0434782
Subtracting 92 from 120 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 13:
When dividing 280 by 46, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 724.04347826
Deduct 276 from 280 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 724.04347826, and the remainder is 4e-09.