We divide 711361 by 45
We want to figure out the number of times 711361 can be divided by 45.

Advancing to step 1:
7 divided by 45 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 45

Advancing to step 2:
If we divide 71 by 45, we get 1 and a remainder of 26.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 45 from 71, we get 26.
Include the next digit (1) from the dividend after 26, then repeat: 261 / 45

On to step 3:
The number 45 fits into 261 5 times, leaving a remainder of 36.
The next digit of our result is 5. 
Result so far: 15.0
Deduct 225 from 261 and we're left with 36.
Bring next digit (3) of the dividend behind the 36 and repeat the process: 363 / 45

Step 4:
363 divided by 45 is 8 with a remainder of 3.
The next digit of our result is 8. 
Result so far: 158.0
Deduct 360 from 363 and we're left with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 45

Step 5:
45 can be fit into 36 0 times, resulting in a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 1580.0
If we subtract 0 from 36, we get 36.
Take the next digit (1) from the dividend and append it to 36, then repeat: 361 / 45

Step 6:
The number 45 fits into 361 8 times, leaving a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 15808.0
Deduct 360 from 361 and we're left 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 7:
If we divide 10 by 45, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 15808.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
If we divide 100 by 45, we get 2 and a remainder of 10.
The next digit of our result is 2. 
Result so far: 15808.02
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
45 can be fit into 100 2 times, resulting in a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 15808.022
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 15808.022 with a remaining 0.001.