293261 ÷ 45 
We're looking to find how many times 45 goes into 293261.

Advancing to step 1:
When dividing 2 by 45, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 45

On to step 2:
The number 45 fits into 29 0 times, leaving a remainder of 29.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 29, we get 29.
Fetch the next digit (3) from the dividend, attach it to 29 and continue: 293 / 45

Step 3:
45 goes into 293 6 times with a remainder of 23.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 270 from 293 leaves us with 23.
Bring next digit (2) of the dividend behind the 23 and repeat the process: 232 / 45

Step 4:
When dividing 232 by 45, we get 5 with a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
Subtracting 225 from 232 leaves us with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 45

Step 5:
45 goes into 76 1 times with a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 651.0
Subtracting 45 from 76 leaves us with 31.
Take the next digit (1) from the dividend and append it to 31, then repeat: 311 / 45

Let's proceed to step 6:
If we divide 311 by 45, we get 6 and a remainder of 41.
Record the quotient 6 as the next digit in the result. 
Result so far: 6516.0
Deduct 270 from 311 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 7:
45 can be fit into 410 9 times, resulting in a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 6516.9
Deduct 405 from 410 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
If we divide 50 by 45, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 6516.91
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
If we divide 50 by 45, we get 1 and a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 6516.911
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 6516.911, with a leftover of 0.0005.