370588 divided by 3 
We want to figure out the number of times 370588 can be divided by 3.

Let's proceed to step 1:
When dividing 3 by 3, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 3 from 3 to get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 3

Let's proceed to step 2:
7 divided by 3 is 2 with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 12.0
Subtract 6 from 7 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 3

Step 3:
If we divide 10 by 3, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 123.0
Subtracting 9 from 10 leaves us with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 3

Let's proceed to step 4:
When dividing 15 by 3, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 1235.0
Subtracting 15 from 15 leaves us with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 3

Let's proceed to step 5:
3 goes into 8 2 times with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 12352.0
If we subtract 6 from 8, we get 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 3

Let's proceed to step 6:
When dividing 28 by 3, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 123529.0
Subtracting 27 from 28 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
If we divide 10 by 3, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 123529.3
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 123529.33
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 123529.33 with a remainder of 0.001.