The number two hundred is rewritten in base seven. What does it look like?

In base seven the place values are 49, 7 and 1. Now 200 ÷ 49 = 4 with 4 left over, and that 4 is smaller than 7, so it needs no sevens at all: 4 ÷ 7 = 0 remainder 4. The digits are therefore 4, 0, 4, i.e. 404. Check: $4\times 49+0\times 7+4\times 1=196+0+4=200$. Writing 440 drops the leftover 4 into the sevens column instead of the units column and comes to $4\times 49+4\times 7=224$.