N.B. some DVMs have input resistances that vary with time, since they are bootstrapped to minimise the input current, and it takes time for the bootstrap to settle. However, that is unlikely to be relevant to the OP's problem.
Sure, input bias drift is an obvious source of error for a high impedance bench DMMs with bootstrapped inputs (like my old Datrons for instance) but definitely not relevant for a simple handheld DMM like the OP has. His thread title is "Newbie question - Can...". He's looking for simple advice. If we're going to that level then voltage coefficient of the resistors is probably a more relevant error source (that we can't do anything about) we don't need to be worrying him with such esoterics.
Sorry if that came out as a rant, but I think we (as a group) have a tendency to go off into long technical discussions that don't match the specific needs of the questioner.
The OP probably needs, what?, 2-5% measurement accuracy for checking his analogue scope supplies? It's a question of whether a 10:1 divider using the 10M input impedance of his DMM or a 1000:1 divider. He will need to measure the values of the resistors for both to achieve even that level of accuracy though. I have to say, I'm now leaning towards the 1000:1 even though it's a bit more complex to build than a simple series probe, however I think both will do the job. I guess he can test them both with a lower voltage source, either 10V in 1V out or 10V in 10mV out (input impedance on the bottom range is sometimes different to the others on low-end meters though).
@chihaxinh: You should probably purchase at least 10 x 10M resistors (get some spares) and make sure you have some 100ks too. Also see what information the instructions for your DMM have for the input resistance. (There's no point in building something more complicated than you need).