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How to Do Long Division

Watch more Basic Math Skills videos: Subscribe to Howcast's YouTube Channel - Use these instructions to learn how to do long division. Howcast uploads the highest quality how-to videos daily! Be sure to check out our playlists for guides that interest you: Subscribe to Howcast's other YouTube Channels: Howcast Health Channel - Howcast Video Games Channel - Howcast Tech Channel - Howcast Food Channel - Howcast Arts & Recreation Channel - Howcast Sports & Fitness Channel - Howcast Personal Care & Style Channel - Howcast empowers people with engaging, useful how-to information wherever, whenever they need to know how. Emphasizing high-quality instructional videos, Howcast brings you experts who provide accurate information in easy-to-follow tutorials on everything from makeup, hairstyling, nail art design, and soccer to parkour, skateboarding, dancing, kissing, and much, much more. Step 1: Understand the terminology Recognize that when you have long division problems, you must divide a dividend by a divisor to obtain the answer, called a quotient. Tip The dividend is the number inside the division box, the divisor is the number on the outside of the box. Step 2: Look at the first digit Decide whether the divisor is small enough to divide the first digit in the box -- the one farthest to the left. Tip If you are dividing 12 into 86, for example, note that 12 won't go into eight. Step 3: Place a zero Place a zero above that first digit on the top of the division box if the divisor is too large to go into the first digit. Move one digit to the right and try dividing into that number. Keep doing this until you have found a number that the divisor can be divided into. Tip In the example, since 12 won't go into eight, consider the first two digits under the dividend -- or 86. Step 4: Consider the next portion of the dividend Determine how may times the divisor will go into that that portion of the dividend, and place the quotient above it, on top of the division box. In the example, 12 will go into 86 seven times, so place a 7 above the 6 in 86. Tip Write the product of seven and 12 under the dividend in the box. Since seven times 12 equals 84, write 84. Step 5: Subtract Subtract the product from the divided portion of the dividend and write the result underneath. In the example, you will place the difference between 86 and 84 -- the number two -- under the number four in 84. Step 6: Bring down Bring down the next number in the dividend and continue the same process until there are no more numbers to bring down or until the final number is too small to divide into. Tip If the last number is too small, write it as the remainder. In the example the remainder is two. Step 7: Check your result Clear any leading zeros on the left side of the quotient. Now check your result by multiplying the quotient by the divisor to see whether you get the dividend. Did You Know? The Egyptians performed multiplication and division by doubling and halving.
Length: 02:20


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