We look at the division of 46634 by 72 
We're looking to find how many times 72 goes into 46634.

Let's proceed to step 1:
When dividing 4 by 72, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 72

On to step 2:
46 divided by 72 is 0 with a remainder of 46.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 46 leaves us with 46.
Fetch the next digit (6) from the dividend, attach it to 46 and continue: 466 / 72

Let's proceed to step 3:
If we divide 466 by 72, we get 6 and a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 432 from 466, we get 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 72

Moving on to step 4:
If we divide 343 by 72, we get 4 and a remainder of 55.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
The remainder is 55 after subtracting 288 from 343.
Bring next digit (4) of the dividend behind the 55 and repeat the process: 554 / 72

Let's proceed to step 5:
72 goes into 554 7 times with a remainder of 50.
Use 7 as the next digit of our solution. 
Result so far: 647.0
If we subtract 504 from 554, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 6:
500 divided by 72 is 6 with a remainder of 68.
Record the quotient 6 as the next digit in the result. 
Result so far: 647.6
Deduct 432 from 500 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 7:
72 can be fit into 680 9 times, resulting in a remainder of 32.
Put 9 as the next digit of the answer. 
Result so far: 647.69
Deduct 648 from 680 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
When dividing 320 by 72, we get 4 with a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 647.694
Subtracting 288 from 320 leaves us with 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:
If we divide 320 by 72, we get 4 and a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 647.6944
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 647.6944 with a remaining 0.00032.