We divide 437641 by 45
We're looking to find how many times 45 goes into 437641.

On to step 1:
45 can be fit into 4 0 times, resulting in 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 (3) from the dividend after 4, then repeat: 43 / 45

On to step 2:
45 can be fit into 43 0 times, resulting in a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Append the next digit (7) from the dividend to 43 and continue with: 437 / 45

Advancing to step 3:
When dividing 437 by 45, we get 9 with a remainder of 32.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 405 from 437 to get 32.
Take the next digit (6) from the dividend and append it to 32, then repeat: 326 / 45

Advancing to step 4:
45 goes into 326 7 times with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 97.0
Deduct 315 from 326 and we're left with 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 45

Let's proceed to step 5:
If we divide 114 by 45, we get 2 and a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 972.0
The remainder is 24 after subtracting 90 from 114.
Fetch the next digit (1) from the dividend, attach it to 24 and continue: 241 / 45

Step 6:
241 divided by 45 is 5 with a remainder of 16.
The number 5 becomes the next digit in our result. 
Result so far: 9725.0
Subtract 225 from 241 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 7:
If we divide 160 by 45, we get 3 and a remainder of 25.
The next digit of our result is 3. 
Result so far: 9725.3
Subtracting 135 from 160 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
250 divided by 45 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 9725.35
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
250 divided by 45 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 9725.355
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 9725.355, with a leftover of 0.0025.