Let's divide 953554 by 45
Our goal is to divide 953554 by 45.

On to step 1:
45 goes into 9 0 times with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 45

Moving on to step 2:
45 goes into 95 2 times with a remainder of 5.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 90 from 95 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 45

Going ahead to step 3:
When dividing 53 by 45, we get 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 21.0
If we take 45 away from 53, we end up with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 45

Moving on to step 4:
If we divide 85 by 45, we get 1 and a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 211.0
Deduct 45 from 85 and we're left with 40.
Bring next digit (5) of the dividend behind the 40 and repeat the process: 405 / 45

On to step 5:
45 can be fit into 405 9 times, resulting in a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 2119.0
Subtracting 405 from 405 leaves us with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 45

Step 6:
The number 45 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 21190.0
If we take 0 away from 4, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
If we divide 40 by 45, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 21190.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
If we divide 400 by 45, we get 8 and a remainder of 40.
The next digit of our result is 8. 
Result so far: 21190.08
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
The number 45 fits into 400 8 times, leaving a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 21190.088
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 21190.088, and the remainder is 0.004.