412059 ÷ 45 
We want to divide 412059 by 45.

On to step 1:
The number 45 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 45

Moving on to step 2:
45 goes into 41 0 times with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Append the next digit (2) from the dividend to 41 and continue with: 412 / 45

Advancing to step 3:
412 divided by 45 is 9 with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we take 405 away from 412, we end up with 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 45

Step 4:
When dividing 70 by 45, we get 1 with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 91.0
The remainder is 25 after subtracting 45 from 70.
Append the next digit (5) from the dividend to 25 and continue with: 255 / 45

Going ahead to step 5:
45 can be fit into 255 5 times, resulting in a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 915.0
If we subtract 225 from 255, we get 30.
Grab the next digit (9) from the dividend, add it to 30, then carry on: 309 / 45

Advancing to step 6:
When dividing 309 by 45, we get 6 with a remainder of 39.
Put 6 as the next digit of the answer. 
Result so far: 9156.0
If we subtract 270 from 309, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 7:
If we divide 390 by 45, we get 8 and a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 9156.8
If we take 360 away from 390, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
300 divided by 45 is 6 with a remainder of 30.
The next digit of our result is 6. 
Result so far: 9156.86
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
The number 45 fits into 300 6 times, leaving a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 9156.866
Subtract 270 from 300 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 9156.866 and a remainder of 0.003.