We're dividing 368976 by 58 
We want to figure out the number of times 368976 can be divided by 58.

On to step 1:
The number 58 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 58

Going ahead to step 2:
If we divide 36 by 58, we get 0 and a remainder of 36.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 36 leaves us with 36.
Bring next digit (8) of the dividend behind the 36 and repeat the process: 368 / 58

Step 3:
58 can be fit into 368 6 times, resulting in a remainder of 20.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 348 from 368 to get 20.
Append the next digit (9) from the dividend to 20 and continue with: 209 / 58

Let's proceed to step 4:
The number 58 fits into 209 3 times, leaving a remainder of 35.
The next digit of our result is 3. 
Result so far: 63.0
If we take 174 away from 209, we end up with 35.
Take the next digit (7) from the dividend and append it to 35, then repeat: 357 / 58

Step 5:
58 goes into 357 6 times with a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 636.0
The remainder is 9 after subtracting 348 from 357.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 58

Moving on to step 6:
58 can be fit into 96 1 times, resulting in a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 6361.0
If we subtract 58 from 96, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
When dividing 380 by 58, we get 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 6361.6
Deduct 348 from 380 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
58 can be fit into 320 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 6361.65
If we take 290 away from 320, 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.

On to step 9:
58 goes into 300 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 6361.655
If we subtract 290 from 300, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 6361.655 with a remaining 0.001.