Answer:[tex].2666[/tex] (repeating, which is usually signified by a line over the 6, but I couldn't type that)Step-by-step explanation: ________15 | 4 __._____15 | 4 0 since 15 is bigger than 4, add a 0 here. make sure you also place a decimal point above (above the place directly after 4) so your answer isn't larger than it should be. __.2____15 | 4 0 3 0 15*2 = 30. that's as close to 40 as we're going to get. __.2____15 | 4 0 -30 10 40 - 30 = 10. __.2____15 | 4 0 -30 1 0 0 bring down an imaginary 0. __.26___15 | 4 0 -30 1 0 0 - 90 15*6 = 90. that's as close to 100 as we're going to get. 1 0Notice that we keep getting 10 as a remainder again if we keep going. So 6 keeps repeating on top, which is why it's a repeating decimal. Once you realize it's the same number again and again the further you divide it, you can stop and write the line over the 6.