Estimating and dividing with greater numbers:
794 divided by 46
1. estimating
794/46
Multiply by two to get approximately
1600/90
equals approximately
1600/100*1.1
=17.5
2. dividing:
use long division or the calculator if allowed.
hhhhh5
To estimate and divide larger numbers like 794 divided by 46, you can use compatible numbers to make the division easier.
First, we can round both numbers to a more manageable value. In this case, 794 is closer to 800, and 46 is closer to 50. Now, approximate the division of 800 by 50.
800 ÷ 50 = 16
This rounded value of 16 will be a close estimate of the actual quotient of 794 ÷ 46.
To find the exact quotient, you can use long division. Here's how:
17
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46 | 794
1. Start with the leftmost digit of the dividend. In this case, it is 7 from 794.
2. Ask yourself, how many times does the divisor 46 fit into 7? The answer is zero, so you write a zero above the division symbol.
3. Bring down the next digit, making it 79.
4. Find the largest multiple of 46 that you can subtract from 79 without getting a negative result. The largest multiple is 46 itself. Subtracting it from 79 gives you 33.
5. Write the result of the subtraction (33) below the line.
6. Repeat the process by bringing down the next digit from the dividend, which is 4, and append it to the remainder (33). This gives you a new number, 334.
7. Now, ask yourself how many times 46 fits into 334. The answer is 7, so you write a 7 above the line.
8. Subtract 46 multiplied by 7 (322) from 334 to get a new remainder of 12.
9. Lastly, bring down the next digit, which is 0. Append it to the remainder (12), making it 120.
10. Ask yourself again, how many times does 46 fit into 120? The answer is 2, so you write a 2 above the line.
11. Subtract 46 multiplied by 2 (92) from 120 to get a new remainder of 28.
12. Since there are no more digits in the dividend, the division process is complete.
The final result is a quotient of 17 and a remainder of 28.
So, 794 divided by 46 is equal to 17 with a remainder of 28.