Let's divide 33434 by 7
We're looking to find how many times 7 goes into 33434.

Step 1:
7 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 7

Let's proceed to step 2:
The number 7 fits into 33 4 times, leaving a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 5 after subtracting 28 from 33.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 7

Let's proceed to step 3:
When dividing 54 by 7, we get 7 with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 47.0
If we subtract 49 from 54, we get 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 7

Advancing to step 4:
If we divide 53 by 7, we get 7 and a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 477.0
Deduct 49 from 53 and we're left with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 7

Step 5:
7 goes into 44 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 4776.0
Subtract 42 from 44 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 6:
7 can be fit into 20 2 times, resulting in a remainder of 6.
The next digit of our result is 2. 
Result so far: 4776.2
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
When dividing 60 by 7, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 4776.28
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
If we divide 40 by 7, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 4776.285
If we take 35 away from 40, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
When dividing 50 by 7, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 4776.2857
Subtracting 49 from 50 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 4776.28571
If we take 7 away from 10, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 4776.285714
Subtract 28 from 30 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 12:
When dividing 20 by 7, we get 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 4776.2857142
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
7 goes into 60 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 4776.28571428
Subtract 56 from 60 to get 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 final result is 4776.28571428 with a remainder of 4e-09.