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Find the quotient of 946 divided by 43.
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First, let’s remember what the quotient is.
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The quotient is equal to the dividend divided by the divisor.
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We can solve this problem using long division, where the dividend goes inside the box, the divisor is on the left of the box, and the quotient is at the top.
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We start with the division box.
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The dividend is 946.
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Our divisor is 43.
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Now we’re ready to do long division.
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To find the first digit in our quotient, we need to ask the question how many times can 43 be divided into 94.
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One way to consider this is by asking the question 43 times what number equals 94.
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I know that 40 times two equals 80.
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And that’s pretty close to 94.
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Let’s start with the number two.
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From there, we multiply two times 43, which equals 86.
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And now we subtract 86 from 94.
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In the tens place, we have four minus six.
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And that’s not possible.
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So we borrow from our nine, leaving us with eight and 14 in the place value to the right.
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Now we can say 14 minus six equals eight.
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And eight minus eight equals zero.
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For the next step, we bring down the digit to the right.
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Now we go back and we ask the question how many times does 43 go into 86.
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In other words, 43 times what equals 86?
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We’ve already found that 43 times two equals 86.
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We still have to finish up our long division by multiplying two times 43, which equals 86.
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We subtract 86 minus 86 equals zero.
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The quotient is the value we find when we divide the dividend by the divisor.
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And here the quotient is 22.
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946 divided by 43 equals 22.