370554 divided by 8 
We're looking to find how many times 8 goes into 370554.

Let's proceed to step 1:
The number 8 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 8

On to step 2:
8 can be fit into 37 4 times, resulting in a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 32 from 37 and we're left with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 8

Advancing to step 3:
If we divide 50 by 8, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 46.0
The remainder is 2 after subtracting 48 from 50.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 8

On to step 4:
If we divide 25 by 8, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 463.0
If we take 24 away from 25, we end up with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 8

Advancing to step 5:
When dividing 15 by 8, we get 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 4631.0
Subtract 8 from 15 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 8

Let's proceed to step 6:
74 divided by 8 is 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 46319.0
Deduct 72 from 74 and we're left with 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:
20 divided by 8 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 46319.2
Subtract 16 from 20 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
8 can be fit into 40 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 46319.25
Subtracting 40 from 40 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
If we divide 0 by 8, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 46319.25
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
When dividing 0 by 8, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 46319.25
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 46319.25 with a remainder of 0.0.