Solve 45/21

$$\frac{ 45 }{ 21 }$$

Evaluate

$$\frac{15}{7}\approx 2.142857143$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 45

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)45}\\\end{array}$$

Since 4 is less than 21, use the next digit 5 from dividend 45 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)45}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 45

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)45}\\\end{array}$$

Find closest multiple of 21 to 45. We see that 2 \times 21 = 42 is the nearest. Now subtract 42 from 45 to get reminder 3. Add 2 to quotient.

$$\begin{array}{l}\phantom{21)}02\phantom{4}\\21\overline{)45}\\\phantom{21)}\underline{\phantom{}42\phantom{}}\\\phantom{21)9}3\\\end{array}$$

Since 3 is less than 21, stop the division. The reminder is 3. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }3$$

Factor

$$\frac{3 \cdot 5}{7} = 2\frac{1}{7} = 2.142857142857143$$