The quotient is further expressed as the number of times the divisor divides into the dividend, e.g., 3 divides 2 times into 6. A quotient can also refer to the integer part of the result of dividing two integers in Euclidean division.For example, the quotient of 13 divided by 5 would be 2 while the remainder would be 3. quotient can also refer to the integer part of the result of dividing two integers in Euclidean division. For example, the quotient of 13 divided by 5 would be 2 while the remainder would be 3.