This one is one of the most space-consuming, but is also one of the easiest, as it only requires you to know your tables up to 9x9. This makes it especially useful for KS2 or less-able KS3 students (age 9+)
The rest is adding.
Step 1: The grid method.
To multiply two numbers together, the numbers are first broken down into their component place-value chunks.
For instance, let us multiply 47 by 68.
"47" is actually "40 + 7" and "68" is "60 + 8".
These numbers are written into a grid, as in the illustration below: