358961 ÷ 9 
Our goal is to divide 358961 by 9.

On to step 1:
9 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 9

Let's proceed to step 2:
9 can be fit into 35 3 times, resulting in a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 27 away from 35, we end up with 8.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 9

Step 3:
The number 9 fits into 88 9 times, leaving a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 39.0
If we subtract 81 from 88, we get 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 9

Going ahead to step 4:
The number 9 fits into 79 8 times, leaving a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 398.0
Subtracting 72 from 79 leaves us with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 9

Let's proceed to step 5:
9 goes into 76 8 times with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 3988.0
If we subtract 72 from 76, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 9

Let's proceed to step 6:
9 can be fit into 41 4 times, resulting in a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 39884.0
If we subtract 36 from 41, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
When dividing 50 by 9, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 39884.5
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
9 can be fit into 50 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 39884.55
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 39884.55 and a remainder of 0.005.