711006 ÷ 45 
Our goal is to divide 711006 by 45.

Moving on to step 1:
45 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 45

Let's proceed to step 2:
45 can be fit into 71 1 times, resulting in a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 45 from 71, we get 26.
Append the next digit (1) from the dividend to 26 and continue with: 261 / 45

Going ahead to step 3:
When dividing 261 by 45, we get 5 with a remainder of 36.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 225 away from 261, we end up with 36.
Append the next digit (0) from the dividend to 36 and continue with: 360 / 45

Going ahead to step 4:
45 can be fit into 360 8 times, resulting in a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 158.0
The remainder is 0 after subtracting 360 from 360.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 45

On to step 5:
If we divide 0 by 45, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 1580.0
If we take 0 away from 0, we end up with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 45

On to step 6:
6 divided by 45 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 15800.0
The remainder is 6 after subtracting 0 from 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
60 divided by 45 is 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 15800.1
Subtract 45 from 60 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
45 can be fit into 150 3 times, resulting in a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 15800.13
The remainder is 15 after subtracting 135 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 9:
45 can be fit into 150 3 times, resulting in a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 15800.133
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 15800.133, and the remainder is 0.0015.