Summary: Muslim apologists love showing verses from the Bible that they say foretold the coming of Muhammad. These verses usually show that they do not understand the importance of context.
The Muslim makes the claim that the Bible foretold the coming of Muhammad, and because of this, the Christian needs to submit to the teachings of Muhammad. They make the claim based on what is taught in the Qur’an, not what is taught in the Bible.
Their are a couple passages they begin with in making their arguments:
“Those who follow the Messenger, the unlettered prophet, whom they find written in what they have of the Torah and the Gospel” (Surah 7:157) 
“And [mention] when Jesus, the son of Mary, said, ‘O children of Israel, indeed I am the messenger of Allah to you confirming what came before me of the Torah and bringing good tidings of a messenger to come after me, whose name is Ahmad.'” (61:6)
Since these two passages teach that the Bible (and even Jesus) spoke of the coming of Muhammad, the Muslim opens up the Bible to try to find the passages which speak about Muhammad. Let’s examine some of the common passages the Muslim points to that they claim speak of Muhammad.
15 “The LORD your God will raise up for you a Prophet like me from your midst, from your brethren. Him you shall hear, 16 according to all you desired of the LORD your God in Horeb in the day of the assembly, saying, ‘Let me not hear again the voice of the LORD my God, nor let me see this great fire anymore, lest I die.’ 17 And the LORD said to me: ‘What they have spoken is good. 18 I will raise up for them a Prophet like you from among their brethren, and will put My words in His mouth, and He shall speak to them all that I command Him. 19 And it shall be that whoever will not hear My words, which He speaks in My name, I will require it of him.
Muslims like to quote this passage and then show some similarities/parallels between Moses and Muhammad to prove that Muhammad is spoken of in this passage when Moses speaks of “a Prophet like me.” When one examines this text within it’s context, this is not a conclusion that one can come to. I say this for many reasons:
First, This text itself limits the fulfillment to a Jewish person; an Israelite. Moses, who is speaking to the Jews before they enter the promised land, says in this passage that “The LORD your God will raise up for you a Prophet like me from your midst, from your brethren.” Some translations translate the noun “brethren” as “countrymen.” Both are possible translations of the Hebrew word “ach”. This word is used elsewhere within the context (Deut 18:1-2) to show that when Moses uses the word here he is only referring to the Jews:
1 “The priests, the Levites–all the tribe of Levi–shall have no part nor inheritance with Israel; they shall eat the offerings of the LORD made by fire, and His portion. 2 Therefore they shall have no inheritance among their brethren (Heb – ach); the LORD is their inheritance, as He said to them. (Deuteronomy 18:1-2)
This passage is talking about the Levitical priests and their work amongst the Israelites. It is talking about what is going to happen when the land is allotted to them when they enter the promised land. He is clearly talking about the Jews when he uses the Hebrew word ‘ach’.