361361 ÷ 45 
We want to figure out the number of times 361361 can be divided by 45.

Going ahead to step 1:
When dividing 3 by 45, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 45

Going ahead to step 2:
45 goes into 36 0 times with a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 36 leaves us with 36.
Append the next digit (1) from the dividend to 36 and continue with: 361 / 45

Let's proceed to step 3:
361 divided by 45 is 8 with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 1 after subtracting 360 from 361.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 45

Let's proceed to step 4:
If we divide 13 by 45, we get 0 and a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 80.0
The remainder is 13 after subtracting 0 from 13.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 45

Going ahead to step 5:
If we divide 136 by 45, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 803.0
If we take 135 away from 136, we end up with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 45

Going ahead to step 6:
45 can be fit into 11 0 times, resulting in a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 8030.0
If we take 0 away from 11, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
45 goes into 110 2 times with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 8030.2
Subtract 90 from 110 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
200 divided by 45 is 4 with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 8030.24
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
The number 45 fits into 200 4 times, leaving a remainder of 20.
The next digit of our result is 4. 
Result so far: 8030.244
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 8030.244, with a leftover of 0.002.