Your name in the Torah: in Hebrew letters, as a number, with the verse it lands on and the sources. Computed, not divined. Free.
שמרית
Spelling attested: this is how the name is recorded in the open Wikidata name base.
In short
Your name in Hebrew letters is שמרית. A Tanakh name: a Moabite woman (first in 2 Chronicles 24:26; 1 mention in the Tanakh). Meaning, per Strong’s dictionary (1890): “female guard”. Adding up the numbers of its letters gives 950. That number points to Torah page 242 of 354 — in the portion Behaalotcha. What that portion is about: Lighting the lampstand; the second Passover; the cloud leads the camp; quail and complaints; Miriam and tzaraat. The verse that begins with the first letter of your name and ends with the last is Exodus 15:14. Each of these steps is laid out below with its sources. Every figure can be checked by hand.
You wrote “Shimrith” — this exact spelling is what was calculated: שמרית. A name from the Tanakh — its Tanakh spelling is used. If your name is spelled differently, correct the Hebrew spelling and the report is recomputed.
Adding up the letters of the name שמרית gives 950.
950
✓ Verify
The number 950, as the remainder modulo 354, points to Torah page 242 in the book of Bamidbar (Numbers).
The verse this place falls on is Bamidbar (Numbers) 11:16:
וַיֹּאמֶר ה׳ אֶל־מֹשֶׁה אֶסְפָה־לִּי שִׁבְעִים אִישׁ מִזִּקְנֵי יִשְׂרָאֵל אֲשֶׁר יָדַעְתָּ כִּי־הֵם זִקְנֵי הָעָם וְשֹׁטְרָיו וְלָקַחְתָּ אֹתָם אֶל־אֹהֶל מוֹעֵד וְהִתְיַצְּבוּ שָׁם עִמָּךְ
And HaShem said unto Moses: 'Gather unto Me seventy men of the elders of Israel, whom thou knowest to be the elders of the people, and officers over them; and bring them unto the tent of meeting, that they may stand there with thee.
This is from the portion Behaalotcha. What it is about: Lighting the lampstand; the second Passover; the cloud leads the camp; quail and complaints; Miriam and tzaraat.
Other ways of counting
The tradition counts the same name in several ways. The main one is above: each letter is its number. The other eight are old and checkable too; each gives its own number, and many of them have a Torah word with the same number.
Final letters as 500–900 (mispar gadol) — 950.
Reduced, each letter to one digit (mispar katan) — 14. A Torah word with the same number is יד — “hand” (Genesis 3:22).
Ordinal: alef 1, bet 2 … tav 22 (mispar siduri) — 86. A Torah word with the same number is אלהים — “God” (Genesis 1:1).
Cumulative: a letter plus all letters before it (mispar kidmi) — 3585.
Squares of the letter values (mispar perati) — 291700.
Building: the sum grows with each letter (mispar bone’eh) — 2680.
The letters that come out are ביגמא — not a word that stands in the Pentateuch. Atbash: letters mirrored, alef for tav, bet for shin, and the number of the resulting word — 56. A Torah word with the same number is יום — “day” (Genesis 1:5).
Filling: the names of the letters are counted — alef, bet, gimel… (milui) — 1376. A Torah word with the same number is עשתרות — “Ashtaroth, city of Og” (Deuteronomy 1:4).
The name שמרית does not stand as a word in the Pentateuch — as with most names, including many Tanakh names from the later books.
The verse of your name
There is a custom: at the end of the prayer one says a Torah verse that begins with the first letter of one's name and ends with its last. For שמרית these are ש and ת. The Pentateuch has 17 such verses. The first of them is Exodus 15:14:
שמעו עמים ירגזון חיל אחז ישבי פלשת
This is from the portion Beshalach. What it is about: The parting of the sea and the song of Moses and Miriam; manna and quail; water from the rock; the war with Amalek.
Each Hebrew letter has a number; a word's number is their sum (alef 1 … tav 400). The page is the remainder modulo 354: the Torah divided into 354 pages of 861 letters, as the lunar year has 354 days. Everything can be checked by hand.
Binyamin Pichkhadze, «Chumash 354» (חומש 354), Bnei Brak, 2002 · Addition, not prophecy.