Multiplication Puzzle

The multiplication puzzle is an excellent adventure in basic math over the set of non-negative integers less than 10 under standard addition and multiplication modulo 10. A multiplication problem is shown with all digits replaced by letters. Your task is to guess which letter represents which number.

Touch the letter you are guessing in the puzzle, select a number, and touch the button "check" to see if your guess is correct or not. The puzzle is solved if you have guessed all the letters correctly. Try to solve the puzzle with the least amount of errors.