We divide 262667 by 45
We want to figure out the number of times 262667 can be divided by 45.

On 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
Subtract 0 from 2 to get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 45

Going ahead to step 2:
The number 45 fits into 26 0 times, leaving a remainder of 26.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Include the next digit (2) from the dividend after 26, then repeat: 262 / 45

On to step 3:
When dividing 262 by 45, we get 5 with a remainder of 37.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 225 from 262 leaves us with 37.
Append the next digit (6) from the dividend to 37 and continue with: 376 / 45

Moving on to step 4:
The number 45 fits into 376 8 times, leaving a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 58.0
Subtracting 360 from 376 leaves us with 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 45

Advancing to step 5:
45 goes into 166 3 times with a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 583.0
Subtract 135 from 166 to get 31.
Include the next digit (7) from the dividend after 31, then repeat: 317 / 45

Advancing to step 6:
45 can be fit into 317 7 times, resulting in a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 5837.0
Subtract 315 from 317 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
The number 45 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5837.0
Subtracting 0 from 20 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.

On to step 8:
If we divide 200 by 45, we get 4 and a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 5837.04
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.

On to step 9:
If we divide 200 by 45, we get 4 and a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 5837.044
If we take 180 away from 200, we end up 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.

Our division results in 5837.044 with a remaining 0.002.