46972 ÷ 45 
We're looking to find how many times 45 goes into 46972.

On to step 1:
The number 45 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 45

Let's proceed to step 2:
The number 45 fits into 46 1 times, leaving a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 45 from 46, we get 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 45

Advancing to step 3:
19 divided by 45 is 0 with a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Deduct 0 from 19 and we're left with 19.
Append the next digit (7) from the dividend to 19 and continue with: 197 / 45

Step 4:
If we divide 197 by 45, we get 4 and a remainder of 17.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
Deduct 180 from 197 and we're left with 17.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 45

Moving on to step 5:
45 goes into 172 3 times with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 1043.0
The remainder is 37 after subtracting 135 from 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 6:
45 can be fit into 370 8 times, resulting in a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 1043.8
If we subtract 360 from 370, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
The number 45 fits into 100 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 1043.82
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
45 can be fit into 100 2 times, resulting in a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 1043.822
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 1043.822 and a remainder of 0.001.