WEBVTT 00:00:00.000 --> 00:00:00.800 00:00:00.800 --> 00:00:09.150 Let's see if we can divide 5.005 by-- let's divide it by 7, 00:00:09.150 --> 00:00:11.430 and see what we get. 00:00:11.430 --> 00:00:21.390 So we can rewrite this as 5.005 divided by 7. 00:00:21.390 --> 00:00:23.704 And the key here is to keep track of the decimal. 00:00:23.704 --> 00:00:25.120 But other than that, you're really 00:00:25.120 --> 00:00:27.920 treating it like a traditional long division problem. 00:00:27.920 --> 00:00:30.300 So you want to put the decimal, it's 00:00:30.300 --> 00:00:32.250 to the right of the ones place. 00:00:32.250 --> 00:00:33.770 So it's right over there. 00:00:33.770 --> 00:00:36.002 I just put the decimal right above the decimal. 00:00:36.002 --> 00:00:37.460 And now we would treat it just like 00:00:37.460 --> 00:00:39.720 a traditional long division problem. 00:00:39.720 --> 00:00:42.625 So how many times does 7 go into 5? 00:00:42.625 --> 00:00:45.580 Well, it goes into 5 zero times, and we 00:00:45.580 --> 00:00:47.849 could write 0 times 7 is 0. 00:00:47.849 --> 00:00:49.390 Actually, let's do that, just to show 00:00:49.390 --> 00:00:52.710 that it works to kind of do the process all the way through. 00:00:52.710 --> 00:00:54.540 0 times 7 is 0. 00:00:54.540 --> 00:00:57.450 You subtract, you get 5. 00:00:57.450 --> 00:00:59.980 So you get this 5 right over here. 00:00:59.980 --> 00:01:03.830 So you get 5, and then we can bring down another 0. 00:01:03.830 --> 00:01:06.530 We bring down this 0 right over here. 00:01:06.530 --> 00:01:11.260 So now we ask ourselves, how many times does 7 go into 50? 00:01:11.260 --> 00:01:14.760 Well, 7 times 7 is 49, so it's going to go seven times. 00:01:14.760 --> 00:01:17.110 7 times 7, 49. 00:01:17.110 --> 00:01:19.770 Subtract, you get 1. 00:01:19.770 --> 00:01:24.140 And now we can bring down this 0. 00:01:24.140 --> 00:01:25.570 Let's do that. 00:01:25.570 --> 00:01:27.540 We bring down that 0. 00:01:27.540 --> 00:01:30.280 7 goes into 10 one time. 00:01:30.280 --> 00:01:32.100 1 times 7 is 7. 00:01:32.100 --> 00:01:34.320 Subtract, get a 3. 00:01:34.320 --> 00:01:37.860 And now finally, we can bring down this 5. 00:01:37.860 --> 00:01:41.320 We can bring down the 5. 00:01:41.320 --> 00:01:43.940 And we ask ourselves, how many times does 7 go into 35? 00:01:43.940 --> 00:01:45.740 Well, 5 times 7 is 35. 00:01:45.740 --> 00:01:47.760 This goes 5 times. 00:01:47.760 --> 00:01:50.270 5 times 7 is 35. 00:01:50.270 --> 00:01:52.030 Subtract, and we are done. 00:01:52.030 --> 00:01:54.370 We have divided it completely. 00:01:54.370 --> 00:02:02.360 And so 5.005 divided by 7 is equal to 0.715. 00:02:02.360 --> 00:02:05.897