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Dividing a decimal by a whole number

CCSS.Math:

Video transcript

let's see if we can divide 5.00 five by let's divide it by seven and see what we get so we can rewrite this as five point zero zero five divided by divided by seven and the key here is to keep track of the decimal but other than that you're really treating it like a traditional long division problem so you want to put the decimal it's right to the is to the right of the ones place so it's right over there I just put the decimal right above the decimal and now we would treat it just like a traditional long division problem so how many times does 7 go into five well it goes into five zero times and we could write zero times seven is zero actually let's do that just to show that it works to kind of do the process all the way through zero times seven is zero you subtract you get five so you get this five right over here so you get five and then we can bring down another zero we bring down this 0 right over here so now we ask ourselves how many times the seven how many times does 7 go into 50 well 7 times 7 is 49 so it's going to go 7 times 7 times 7 49 subtract you get 1 and now we can bring down we can bring down this 0 let's do that we bring down that 0 7 goes into 10 one time 1 times 7 is 7 subtract you get a 3 and now finally we can bring down this 5 we can bring down the 5 and we ask yourself how many times the 7 go 235 well 5 times 7 is 35 this goes 5 times 5 times 7 is 35 subtract and we are done we have divided it completely and so five point zero zero five divided by seven is equal to zero point seven one five