Solve 78:21

$$78 : 21$$

Evaluate

$$\frac{26}{7}\approx 3.714285714$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 78

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)78}\\\end{array}$$

Since 7 is less than 21, use the next digit 8 from dividend 78 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)78}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 78

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)78}\\\end{array}$$

Find closest multiple of 21 to 78. We see that 3 \times 21 = 63 is the nearest. Now subtract 63 from 78 to get reminder 15. Add 3 to quotient.

$$\begin{array}{l}\phantom{21)}03\phantom{4}\\21\overline{)78}\\\phantom{21)}\underline{\phantom{}63\phantom{}}\\\phantom{21)}15\\\end{array}$$

Since 15 is less than 21, stop the division. The reminder is 15. The topmost line 03 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }15$$

Factor

$$\frac{2 \cdot 13}{7} = 3\frac{5}{7} = 3.7142857142857144$$