We look at the division of 451961 by 45 
Our goal is to divide 451961 by 45.

Moving on to step 1:
When dividing 4 by 45, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 45

Step 2:
45 goes into 45 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 45 from 45 to get 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 45

Advancing to step 3:
1 divided by 45 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 45

Moving on to step 4:
The number 45 fits into 19 0 times, leaving a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 100.0
If we take 0 away from 19, we end up with 19.
Fetch the next digit (6) from the dividend, attach it to 19 and continue: 196 / 45

Advancing to step 5:
If we divide 196 by 45, we get 4 and a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 1004.0
If we subtract 180 from 196, we get 16.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 45

Let's proceed to step 6:
The number 45 fits into 161 3 times, leaving a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 10043.0
Subtracting 135 from 161 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
If we divide 260 by 45, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 10043.5
Subtract 225 from 260 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
If we divide 350 by 45, we get 7 and a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 10043.57
Subtracting 315 from 350 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
45 goes into 350 7 times with a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 10043.577
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 10043.577 with a remainder of 0.0035.