Solve 216div42

$$216 \div 42$$

Evaluate

$$\frac{36}{7}\approx 5.142857143$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 216

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)216}\\\end{array}$$

Since 2 is less than 42, use the next digit 1 from dividend 216 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)216}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 216

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)216}\\\end{array}$$

Since 21 is less than 42, use the next digit 6 from dividend 216 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}00\phantom{4}\\42\overline{)216}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 216

$$\begin{array}{l}\phantom{42)}00\phantom{5}\\42\overline{)216}\\\end{array}$$

Find closest multiple of 42 to 216. We see that 5 \times 42 = 210 is the nearest. Now subtract 210 from 216 to get reminder 6. Add 5 to quotient.

$$\begin{array}{l}\phantom{42)}005\phantom{6}\\42\overline{)216}\\\phantom{42)}\underline{\phantom{}210\phantom{}}\\\phantom{42)99}6\\\end{array}$$

Since 6 is less than 42, stop the division. The reminder is 6. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }6$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{7} = 5\frac{1}{7} = 5.142857142857143$$