We're dividing 45554566 by 658 
We're looking to find how many times 658 goes into 45554566.

Moving on to step 1:
When dividing 4 by 658, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 658

Let's proceed to step 2:
If we divide 45 by 658, we get 0 and a remainder of 45.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 45 and we're left with 45.
Fetch the next digit (5) from the dividend, attach it to 45 and continue: 455 / 658

Advancing to step 3:
The number 658 fits into 455 0 times, leaving a remainder of 455.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 455 to get 455.
Append the next digit (5) from the dividend to 455 and continue with: 4555 / 658

Advancing to step 4:
The number 658 fits into 4555 6 times, leaving a remainder of 607.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 3948 from 4555 leaves us with 607.
Grab the next digit (4) from the dividend, add it to 607, then carry on: 6074 / 658

Going ahead to step 5:
658 goes into 6074 9 times with a remainder of 152.
Record the quotient 9 as the next digit in the result. 
Result so far: 69.0
Deduct 5922 from 6074 and we're left with 152.
Grab the next digit (5) from the dividend, add it to 152, then carry on: 1525 / 658

Let's proceed to step 6:
658 goes into 1525 2 times with a remainder of 209.
Put 2 as the next digit of the answer. 
Result so far: 692.0
Subtract 1316 from 1525 to get 209.
Grab the next digit (6) from the dividend, add it to 209, then carry on: 2096 / 658

Moving on to step 7:
2096 divided by 658 is 3 with a remainder of 122.
The number 3 becomes the next digit in our result. 
Result so far: 6923.0
If we subtract 1974 from 2096, we get 122.
Take the next digit (6) from the dividend and append it to 122, then repeat: 1226 / 658

Advancing to step 8:
1226 divided by 658 is 1 with a remainder of 568.
The next digit of our result is 1. 
Result so far: 69231.0
Deduct 658 from 1226 and we're left with 568.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5680, and continue the process.

Going ahead to step 9:
658 goes into 5680 8 times with a remainder of 416.
The number 8 becomes the next digit in our result. 
Result so far: 69231.8
Subtract 5264 from 5680 to get 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

Let's proceed to step 10:
4160 divided by 658 is 6 with a remainder of 212.
Put 6 as the next digit of the answer. 
Result so far: 69231.86
Subtracting 3948 from 4160 leaves us with 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

Step 11:
The number 658 fits into 2120 3 times, leaving a remainder of 146.
The number 3 becomes the next digit in our result. 
Result so far: 69231.863
If we subtract 1974 from 2120, we get 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

Advancing to step 12:
If we divide 1460 by 658, we get 2 and a remainder of 144.
The next digit of our result is 2. 
Result so far: 69231.8632
The remainder is 144 after subtracting 1316 from 1460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Step 13:
658 can be fit into 1440 2 times, resulting in a remainder of 124.
Use 2 as the next digit of our solution. 
Result so far: 69231.86322
If we take 1316 away from 1440, we end up with 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

The final result is 69231.86322 with a remainder of 0.000124.