1. Find Lattice Multiplication of 789 and 456

Solution:

Number-1 = 456 will be placed on the top row of the table
Number-2 = 789 will be placed on the last column of the table

	4	5	6
				7
				8
				9

Step-1: `4xx7=28`, split digits in upper and lower corners

	4	5	6
	2 8			7
				8
				9

Step-2: `5xx7=35`, split digits in upper and lower corners

	4	5	6
	2 8	3 5		7
				8
				9

Step-3: `6xx7=42`, split digits in upper and lower corners

	4	5	6
	2 8	3 5	4 2	7
				8
				9

Step-4: `4xx8=32`, split digits in upper and lower corners

	4	5	6
	2 8	3 5	4 2	7
	3 2			8
				9

Step-5: `5xx8=40`, split digits in upper and lower corners

	4	5	6
	2 8	3 5	4 2	7
	3 2	4 0		8
				9

Step-6: `6xx8=48`, split digits in upper and lower corners

	4	5	6
	2 8	3 5	4 2	7
	3 2	4 0	4 8	8
				9

Step-7: `4xx9=36`, split digits in upper and lower corners

	4	5	6
	2 8	3 5	4 2	7
	3 2	4 0	4 8	8
	3 6			9

Step-8: `5xx9=45`, split digits in upper and lower corners

	4	5	6
	2 8	3 5	4 2	7
	3 2	4 0	4 8	8
	3 6	4 5		9

Step-9: `6xx9=54`, split digits in upper and lower corners

	4	5	6
	2 8	3 5	4 2	7
	3 2	4 0	4 8	8
	3 6	4 5	5 4	9

Step-10: Add diagonal sum, Starting from bottom right and move to top left
`4=4`

`5+5+8=18`, Since `18>9`, carry 1 for next sum

`6+4+0+4+2+1=17`, Since `17>9`, carry 1 for next sum

`3+2+4+5+4+1=19`, Since `19>9`, carry 1 for next sum

`3+8+3+1=15`, Since `15>9`, carry 1 for next sum

`2+1=3`

	4	5	6
3	2 8	3 5	4 2	7
5	3 2	4 0	4 8	8
9	3 6	4 5	5 4	9
	7	8	4

`456xx789=359784`