We look at the division of 45580567 by 354 
We're looking to find how many times 354 goes into 45580567.

Moving on to step 1:
354 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 354

Let's proceed to step 2:
The number 354 fits into 45 0 times, leaving a remainder of 45.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 45 leaves us with 45.
Bring next digit (5) of the dividend behind the 45 and repeat the process: 455 / 354

Moving on to step 3:
If we divide 455 by 354, we get 1 and a remainder of 101.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 354 from 455, we get 101.
Take the next digit (8) from the dividend and append it to 101, then repeat: 1018 / 354

Moving on to step 4:
354 goes into 1018 2 times with a remainder of 310.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we take 708 away from 1018, we end up with 310.
Append the next digit (0) from the dividend to 310 and continue with: 3100 / 354

Going ahead to step 5:
If we divide 3100 by 354, we get 8 and a remainder of 268.
The number 8 becomes the next digit in our result. 
Result so far: 128.0
Deduct 2832 from 3100 and we're left with 268.
Fetch the next digit (5) from the dividend, attach it to 268 and continue: 2685 / 354

Moving on to step 6:
354 can be fit into 2685 7 times, resulting in a remainder of 207.
Use 7 as the next digit of our solution. 
Result so far: 1287.0
Subtract 2478 from 2685 to get 207.
Take the next digit (6) from the dividend and append it to 207, then repeat: 2076 / 354

Going ahead to step 7:
If we divide 2076 by 354, we get 5 and a remainder of 306.
The next digit of our result is 5. 
Result so far: 12875.0
Deduct 1770 from 2076 and we're left with 306.
Fetch the next digit (7) from the dividend, attach it to 306 and continue: 3067 / 354

Step 8:
The number 354 fits into 3067 8 times, leaving a remainder of 235.
Write down 8 as next digit of the result. 
Result so far: 128758.0
If we take 2832 away from 3067, we end up with 235.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2350, and continue the process.

Advancing to step 9:
354 can be fit into 2350 6 times, resulting in a remainder of 226.
Use 6 as the next digit of our solution. 
Result so far: 128758.6
Subtracting 2124 from 2350 leaves us with 226.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

Going ahead to step 10:
354 goes into 2260 6 times with a remainder of 136.
Record the quotient 6 as the next digit in the result. 
Result so far: 128758.66
If we take 2124 away from 2260, we end up with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

The quotient of the division is 128758.66, and the remainder is 0.136.