634032 ÷ 4 
We're looking to find how many times 4 goes into 634032.

Step 1:
If we divide 6 by 4, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 4 from 6 and we're left with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 4

On to step 2:
4 can be fit into 23 5 times, resulting in a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 3 after subtracting 20 from 23.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 4

Let's proceed to step 3:
34 divided by 4 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 158.0
Subtract 32 from 34 to get 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 4

Moving on to step 4:
4 can be fit into 20 5 times, resulting in a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 1585.0
The remainder is 0 after subtracting 20 from 20.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 4

Going ahead to step 5:
4 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 15850.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 4

Step 6:
If we divide 32 by 4, we get 8 and a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 158508.0
If we take 32 away from 32, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
If we divide 0 by 4, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 158508.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
If we divide 0 by 4, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 158508.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 158508.0, with a leftover of 0.0.