# Remainder series

Find the smallest number which gives a remainder 9 when divided by 10, remainder 8 when divided by 9, remainder 7 when divided by 8, remainder 6 when divided by 7, remainder 5 when divided by 6, remainder 4 when divided by 5, remainder 3 when divided by 4, remainder 2 when divided by 3 and remainder 1 when divided by 2. Of course remainder 0 when divided by 1 as any number gives!