The quotient of 3,419 and 11 can be determined by using an area model as follows;
3,419 ÷ 11 = (3300 ÷ 11) + (110 ÷ 11) + (9 ÷ 11)
3,419 ÷ 11 = 300 + 10 + (9/11)
3,419 ÷ 11 = 310 9/11.
In Mathematics and Euclidean Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).
In order to determine the quotient of 3,419 and 11 by using an area model, we would have to express 3,419 as a combination of multiples of 11 as follows;
3,419 ÷ 11 = (3300 ÷ 11) + (110 ÷ 11) + (9 ÷ 11)
By dividing the numbers, we have the following integer values;
3,419 ÷ 11 = 300 + 10 + (9/11)
Next, we would add the integer values together as follows;
3,419 ÷ 11 = 310 9/11.