We divide 645473 by 41
We're looking to find how many times 41 goes into 645473.

Moving on to step 1:
41 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 41

Going ahead to step 2:
If we divide 64 by 41, we get 1 and a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 41 from 64 leaves us with 23.
Take the next digit (5) from the dividend and append it to 23, then repeat: 235 / 41

On to step 3:
The number 41 fits into 235 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 205 from 235, we get 30.
Append the next digit (4) from the dividend to 30 and continue with: 304 / 41

Going ahead to step 4:
41 can be fit into 304 7 times, resulting in a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 157.0
If we take 287 away from 304, we end up with 17.
Take the next digit (7) from the dividend and append it to 17, then repeat: 177 / 41

Going ahead to step 5:
If we divide 177 by 41, we get 4 and a remainder of 13.
The next digit of our result is 4. 
Result so far: 1574.0
If we take 164 away from 177, we end up with 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 41

Let's proceed to step 6:
133 divided by 41 is 3 with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 15743.0
The remainder is 10 after subtracting 123 from 133.
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 7:
The number 41 fits into 100 2 times, leaving a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 15743.2
Subtract 82 from 100 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
41 goes into 180 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 15743.24
If we take 164 away from 180, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
160 divided by 41 is 3 with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 15743.243
Deduct 123 from 160 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 10:
41 goes into 370 9 times with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 15743.2439
If we take 369 away from 370, we end up 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.

Step 11:
The number 41 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 15743.2439
Deduct 0 from 10 and we're left 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.

On to step 12:
If we divide 100 by 41, we get 2 and a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 15743.243902
The remainder is 18 after subtracting 82 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 13:
If we divide 180 by 41, we get 4 and a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 15743.2439024
Subtracting 164 from 180 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 14:
If we divide 160 by 41, we get 3 and a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 15743.24390243
Deduct 123 from 160 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

The final result is 15743.24390243 with a remainder of 3.7e-08.