Divide. Use estimation to check.
585 divided by 3 solve
What is your estimate?
To divide 585 by 3, you can follow these steps:
Step 1: Divide the hundreds place value.
Since there is no hundreds place value in 585, you move to the next digit.
Step 2: Divide the tens place value.
Divide 58 by 3. This equals 19 with a remainder of 1.
Step 3: Divide the ones place value.
Bring down the 5 from 585. Divide 15 by 3. This equals 5 with no remainder.
Step 4: Combine the results.
Combine the results from steps 2 and 3 to get the final quotient. The final quotient is 195.
To use estimation to check, you can round 585 to the nearest hundred, which is 600. Then divide 600 by 3, which equals 200. Since the estimation and the actual answer are close (200 versus 195), this suggests that the division was done correctly.
To divide 585 by 3, you can use long division or estimation. Let's use estimation to check the answer.
Estimation method:
Step 1: Round the dividend (585) and divisor (3) to the nearest ten.
- 585 rounds to 590
- 3 rounds to 0 (as it is already the nearest ten)
Step 2: Divide the rounded dividend by the rounded divisor.
- 590 ÷ 0 = Undefined (We cannot divide by zero)
Since dividing by zero is undefined, we cannot use estimation to check for this particular division problem.
Now, let's solve the division problem using long division to find the exact answer.
Long division method:
Step 1: Write the dividend (585) inside the division bracket and the divisor (3) outside the division bracket.
585 │ 3
Step 2: Start dividing by the first digit of the dividend (5) and examine how many times the divisor (3) can go into it.
- 3 can go into 5 once.
Step 3: Multiply the quotient (1) by the divisor (3) and write the result below the dividend.
- 1 × 3 = 3
3
585 │ 3
-3
Step 4: Subtract the product from the dividend.
- 5 - 3 = 2
3
585 │ 3
-3
-----
2
Step 5: Bring down the next digit of the dividend (8).
3
585 │ 3
-3
-----
25
Step 6: Divide the new dividend (25) by the divisor (3).
- 3 can go into 25 eight times.
38
585 │ 3
-3
-----
25
-24
Step 7: Multiply the new quotient (8) by the divisor (3) and write the product below the new dividend.
- 8 × 3 = 24
38
585 │ 3
-3
-----
25
-24
-----
1
Step 8: Subtract the product from the new dividend.
- 25 - 24 = 1
38
585 │ 3
-3
-----
25
-24
-----
11
Step 9: Bring down the next digit of the dividend (5).
385
585 │ 3
-3
-----
25
-24
-----
115
Step 10: Divide the new dividend (115) by the divisor (3).
- 3 can go into 115 thirty-eight times.
388
585 │ 3
-3
-----
25
-24
-----
115
-111
Step 11: Multiply the new quotient (38) by the divisor (3) and write the product below the new dividend.
- 38 × 3 = 114
388
585 │ 3
-3
-----
25
-24
-----
115
-111
-----
4
Step 12: Subtract the product from the new dividend.
- 115 - 114 = 4
388
585 │ 3
-3
-----
25
-24
-----
115
-111
-----
4
Step 13: Since there are no more digits to bring down and the new dividend (4) is less than the divisor (3), we have finished dividing.
The quotient is 195. Therefore, 585 divided by 3 equals 195.
To check this answer, we can multiply the quotient (195) by the divisor (3) and see if it equals the dividend (585).
- 195 × 3 = 585
Since the resulting product is equal to the dividend, we can verify that the answer is correct.