Let's divide 4632 by 34
We're looking to find how many times 34 goes into 4632.

On to step 1:
When dividing 4 by 34, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 34

Moving on to step 2:
The number 34 fits into 46 1 times, leaving a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 12 after subtracting 34 from 46.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 34

Let's proceed to step 3:
34 goes into 123 3 times with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we subtract 102 from 123, we get 21.
Grab the next digit (2) from the dividend, add it to 21, then carry on: 212 / 34

Moving on to step 4:
212 divided by 34 is 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 136.0
The remainder is 8 after subtracting 204 from 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 5:
34 goes into 80 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 136.2
If we take 68 away from 80, we end up with 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 6:
The number 34 fits into 120 3 times, leaving a remainder of 18.
The next digit of our result is 3. 
Result so far: 136.23
If we take 102 away from 120, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
34 goes into 180 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 136.235
If we take 170 away from 180, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
34 can be fit into 100 2 times, resulting in a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 136.2352
Subtract 68 from 100 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 9:
320 divided by 34 is 9 with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 136.23529
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 10:
140 divided by 34 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 136.235294
Subtract 136 from 140 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.

Let's proceed to step 11:
34 can be fit into 40 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 136.2352941
If we take 34 away from 40, we end up 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.

Going ahead to step 12:
The number 34 fits into 60 1 times, leaving a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 136.23529411
The remainder is 26 after subtracting 34 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 136.23529411, and the remainder is 2.6e-08.