375586 divided by 3 
We're looking to find how many times 3 goes into 375586.

On to step 1:
The number 3 fits into 3 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 3 from 3 to get 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 3

Going ahead to step 2:
If we divide 7 by 3, we get 2 and a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 6 from 7 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 3

Moving on to step 3:
When dividing 15 by 3, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 125.0
If we subtract 15 from 15, we get 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 3

On to step 4:
The number 3 fits into 5 1 times, leaving a remainder of 2.
The next digit of our result is 1. 
Result so far: 1251.0
If we subtract 3 from 5, we get 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 3

Advancing to step 5:
3 goes into 28 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 12519.0
If we subtract 27 from 28, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 3

Step 6:
3 can be fit into 16 5 times, resulting in a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 125195.0
If we subtract 15 from 16, we 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.

Going ahead to step 7:
When dividing 10 by 3, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 125195.3
If we take 9 away from 10, we end up 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 goes into 10 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 125195.33
If we take 9 away from 10, we end up 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.

The quotient of the division is 125195.33, and the remainder is 0.001.