4th Grade Math 4.10, Place the Quotient's First Digit in Long Division

Long division is a method used to do multi-digit division. The steps are done vertically, paying close attention to place values. We can use place value to know where to place the first digit of the quotient. We look at the first digit in the dividend. If it is large enough to be divided by the divisor, we write the first digit above that place value. If the first digit of the dividend is not large enough to be divided by the divisor, we include the second digit of the dividend. We write the partial quotient above the dividend's second digit. Remember we can turn our paper sideways to use the lines to make our place values neat. We discuss step-by-step how to do long division and what is happening. We can use estimation to place the first digit for the quotient. If the dividend rounds to the next greater hundred, it's better to use place value to divide. If our subtraction produces a difference greater than the divisor, the divisor could fit into the dividend's digit more times. We see what happens when we subtract and our divisor cannot fit into the difference. The more a divisor increases, the more the quotient decreases because we are putting fewer into more groups.

4th Grade Math 4.7, Divide Using Repeated Subtraction
   • 4th Grade Math 4.7, Divide Using Repe...  

4th Grade Math 4.8, Divide Using Partial Quotients
   • 4th Grade Math 4.8, Divide Using Part...  

4th Grade Math 4.9, Model Division with Regrouping
   • 4th Grade Math 4.9, Model Division wi...  

4th Grade Math Playlist (2015)
   • 4th Grade Math Course  

I'm using the Houghton Mifflin Go Math!
2015 copyright textbook for this playlist.

You can practice online using the textbook's website
https://www.gomathacademy.com/

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