Editing Napier's bones (section)

===Multiplication by a multi-digit number===

The third example computes {{nowrap|825 × 913}}.

The corresponding bones to the leading number are placed in the board.  For this example, the bones 8, 2, and 5 were placed in the proper order as shown below.
[[File:Napier's Bones ex 3 pic 1.png|center|125px|First step of solving 825 × 913]]
To multiply by a multi-digit number, multiple rows are reviewed.  For this example, the rows for 9, 1, and 3 have been removed from the board for clarity.
[[File:Napier's Bones ex 3 pic 2.png|center|300px|Second step of solving 825 × 913]]
Each row is evaluated individually and each diagonal column is added as explained in the previous examples. The sums are read from left to right, producing the numbers needed for the long hand addition calculations to follow.  For this example, row 9, row 1, and row 3 were evaluated separately to produce the results shown below.
[[File:Napier's Bones ex 3 pic 3.png|center|600px|Third step of solving 825 × 913]]
Starting with the rightmost digit of the second number, the sums are placed from the rows in sequential order as seen from right to left under each other while utilising a 0 for a place holder.  
    '''2475'''
    '''825'''0
  '''7425'''00

The rows and place holders are [[summation|summed]] to produce a final answer.
     2475
     8250
 + <u>742500</u>
   '''753225'''

In this example, the final answer produced was 753225. Therefore: The solution to multiplying 825 by 913 is 753225.