Solve 51:21

$$51 : 21$$

Evaluate

$$\frac{17}{7}\approx 2.428571429$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 51

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)51}\\\end{array}$$

Since 5 is less than 21, use the next digit 1 from dividend 51 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)51}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 51

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)51}\\\end{array}$$

Find closest multiple of 21 to 51. We see that 2 \times 21 = 42 is the nearest. Now subtract 42 from 51 to get reminder 9. Add 2 to quotient.

$$\begin{array}{l}\phantom{21)}02\phantom{4}\\21\overline{)51}\\\phantom{21)}\underline{\phantom{}42\phantom{}}\\\phantom{21)9}9\\\end{array}$$

Since 9 is less than 21, stop the division. The reminder is 9. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }9$$

Factor

$$\frac{17}{7} = 2\frac{3}{7} = 2.4285714285714284$$