45127 ÷ 9 
We want to divide 45127 by 9.

Advancing to step 1:
4 divided by 9 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 9

Going ahead to step 2:
45 divided by 9 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 45 from 45 and we're left with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 9

Advancing to step 3:
9 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 50.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 9

Step 4:
12 divided by 9 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 501.0
If we take 9 away from 12, we end up with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 9

Step 5:
The number 9 fits into 37 4 times, leaving a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 5014.0
If we take 36 away from 37, 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.

On to step 6:
10 divided by 9 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 5014.1
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
When dividing 10 by 9, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 5014.11
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 5014.11, and the remainder is 0.001.