This sheet works a 52" deck two ways. Option A uses the fewest risers the IRC allows, 7 at 7-7/16" on 10" treads. Option B adds one riser and uses 11" treads for a gentler 6-1/2" step. Both come with hook-once tape marks for the stringer edge, below the calculator.
Option A: 7 risers at 7-7/16"
52" ÷ 7.75 = 6.71, rounded up to 7 risers, each 7-7/16" (7.4286", 188.7 mm). On 6 treads of 10" the stair lands 60" (5' 0") out from the deck and climbs at 36.6°; 2R + T scores 24.86".
Each step is 12-7/16"+ along the stringer edge. Notches cut 5-15/16" deep, leaving 5-5/16" of throat in a 2x12; the cut length is 6' 6-9/16", so buy 8 ft stock.
Option B: 8 risers at 6-1/2"
One more riser drops each step to 6-1/2" (6.5000"). With 11" treads the run grows to 77" (6' 5"), 17" more than Option A, and the angle eases to 30.6° with 2R + T at 24.00".
The diagonal is 12-3/4"+, the throat 5-5/8", and the stringer cut length 7' 8-1/4" (8 ft).
Cutting the bottom and the top
Take the tread thickness off the bottom riser: 7-7/16" becomes 6-7/16" under 1" 5/4 or composite treads, 5-15/16" under 1-1/2" 2x6 treads. Every finished step then measures 7-7/16".
At the top, the last tread notch sits 8-7/16" below the finished deck for 1" treads. Hung flush from the rim, the stringer edge meets the rim face 1" below the finished deck surface.
Code notes for this deck
7 risers means a handrail is required (four or more risers), 34" to 38" above the nosings.
At 52" the open sides need a guard: 34" above the nosings, no opening wider than a 4-3/8" sphere, and the tread-riser triangle under 6".
The 60" run is within the 6'-0" a cut 2x12 stringer may span under DCA 6, so no mid-support is needed.