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Scrolling, Edge Problem

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Alright, ive implemented a scrolling algorithm. The main variables are calculated like so:

/* tileX|tileY : tile in the top left hand corner
   offsetX|offsetY : ''prestep'' or the amount of pixels to offset the tiles by
   finishX|finishY : the tile coordinates of the bottom-right tile

// calculate the top-right tiles, >> = divide

tileX = drawX / m_TileWidth;
tileY = drawY / ( m_TileHeight / 2 );

// calculate the offsets

offsetX = drawX % m_TileWidth;
offsetY = drawY % ( m_TileHeight / 2 );

finishX = tileX + 20; // tileX + max amount displayable

finishY = tileY + 20; // see above


if ( finishX > m_MapWidth )
	finishX = m_MapWidth;
if ( finishY > m_MapHeight )
	finishY = m_MapHeight;
now this is great and all it smooth scrolls to a certain extent... But when tileX is increased there is a ''gap'' or blank space down the edge of the screen because the tiles in the column preceeding it are no longer displayed. I simple:
tileX--; 
wont work because then the offset is out of place. Any ideas on how to fix this edge problem?

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