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# Dividing a decimal by a whole number

In this math lesson, we learn how to divide decimals using long division. The key is to place the decimal point correctly and treat it like a regular long division problem. By following these steps, we can easily divide 5.005 by 7, resulting in an answer of 0.715. Created by Sal Khan.

## Want to join the conversation?

• how should you divide if your number is a fraction? Like 11 4/6 divided by 5
• You would, make the 5 into a fraction like 5/1 and also make the fraction 11 4/6 to 37/3 then do the division problem. This is probably a late comment!
• does Khan Academy also have videos on how to divide decimals by decimals? If so, thank you.
• Try to use the search button and put what you are looking for in such as "divide decimal by decimal."
• Isn't that suppose to be 1 then 0. Or did I learn a different way?
• 7 does not go into 5, so it must be zero. 7 does go into 50 7 times with 1 remainder. Not sure how you learned it to get a 1 there.
• what would be 0.560 divided by 5?
• 0.112
try 560 divided by 5 which is 112 and you can just put that after the decimal
• how can you divide a decimal lets say 0.23 by 3 how do you do that?
• Since 0.23 has two numbers behind the decimal, we would multiply it by 100 to get 23. Then, in order to make it even, we would also have to multiply 3 by 100, giving us 23/300.
• I get super confused on this can someone explain the steps of what to do pls.
• So if you learn how to divide two fractions, reciprocate the denominator and multiply, you can do this easily. If you have (3/2)/(4/9) reciprocate 4/9 to get 9/4 and multiply 3/2 * 4/9. If you understand this, do the same with dividing by whole numbers such as (3/2)/4. Change 4 to 4/1, so (3/2)/(4/1) = 3/2 * 1/4. The whole number will always just be multiplied by the denominator.
• so i was studying and got this question that i couldn't answer the question is 0.0001/200
and i know the answer which is 5×10^-7
but the problem is that idk how did we solve this thing like how bec earlier i used the calculator
• How well do you know scientific notation? If you convert both to scientific notation, you get 1x10^-4/2x10^2. Rearranging gives 1/2 * 10^-4/10^2, to divide common bases, you subtract the exponents to get .5x10^-6, moving decimal to right adds one more negative (think .5x10/10 x10*-6) to get the answer you give. If you set it up like a regualar division problem, you would have to go to .0001000/200 which gives .0000005 which is the equivalent answer.