In this video, we will try dividing positive and negative decimals. That process is very similar to dividing integers or whole numbers, only we have to do a little bit of work to make sure that our decimal point in the quotient ends up in the right place. So to divide decimals, we move the decimal point in the divisor to the right so that the divisor is a whole number. We move the decimal point in the dividend the same number of places to the right, and we place the decimal point in the quotient directly above the decimal point in the dividend. Then we divide as we would with whole numbers. So let's try an example to make sure we understand what that's saying. Suppose we wanted to take 1.25 and divide that by 0.5. So in this case, our dividend is 1.25 and our divisor is 0.5. So we're going to move the decimal point in the divisor to the right so that the divisor is a whole number. We have to move it one place here so that it's after the 5. Now we move the decimal point in the dividend the same number of places to the right. So one place to the right. That would put it between the 2 and the 5, and now we can put the decimal point in the quotient directly above the decimal point in the dividend. So it will go right here. Now let's divide as we would with whole numbers. So 5 goes into 12 two times. Two times 5 is 10. Twelve minus 10 is 2; we bring down the 5. Five goes into 25 five times. Five times 5 is 25. And we get a remainder of 0. So 1.25 divided by 0.5 is 2 1/2, or 2.5. Let's try a couple more examples of dividing positive and negative decimals. Divide. Here we have 25.944, and we are dividing that by 9.4. So our dividend is 25.944. Our divisor, the number we are dividing by, is 9.4. So remember, we're going to move the decimal point in our divisor the number of places to the right that we need to move it to make it a whole number. That would be one place, to put it after the 4. Now we'll move the decimal point in our dividend the same number of places to the right, so one place to the right, putting it between the 9 and the first 4. Now let's go straight up, and that's where our decimal point will be in our quotient. So now we would divide just like these were whole numbers. So 94 goes into 259 two times.
And 2 times 94 is 188. Subtracting 188 from 259 gives us a difference of 71. Let's bring the 4 down. Ninety-four will go into 714 seven times. And 7 times 94 is 658. Again we're going to subtract 658 from 714; that gives us a difference of 56. And we bring the 4 down. Ninety-four goes into 564 six times. Six times 9.4 is exactly 564. Our difference is 0, so we have a remainder of 0. And so 25.944 divided by 9.4 is equal to 2.76, or 2 and 76 hundredths. Let's try another example. And in this example, we are asked to divide two negative decimals. So we have -8.64. We're dividing that by -0.4. Well, the rule for dividing negative decimals is the same as the rule for dividing negative integers. If we divide two negative numbers, the quotient will be positive and we can just divide the absolute values. So we'll have a positive quotient, which will be the absolute value of -8.64, that's positive 8.64, divided by the absolute value of -0.4, which is 0.4. So let's carry out this division. Our dividend is 8.64, and our divisor is 0.4. Let's move the decimal point in our divisor one place to the right to make it a whole number. And now we move the decimal point in our dividend the same number of places, so one place. And we go straight up and put the decimal point where it will be in our quotient. Now we divide as we would with whole numbers. Four goes in 8 two times. And 2 times 4 is 8. Eight minus 8 is 0. We bring the 6 down. Four goes into 6 one time. One times 4 is 4. Six minus 4 is 2. Bring the 4 down. And 4 goes into 24 six times. 
Six times 4 is 24. Our difference there is 0. So -8.64 divided by -0.4 is equal to 8.64 divided by 0.4. And the quotient is 21.6, or 21 and 6 tenths.