Solve 324div42

$$324 \div 42$$

Evaluate

$$\frac{54}{7}\approx 7.714285714$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 324

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)324}\\\end{array}$$

Since 3 is less than 42, use the next digit 2 from dividend 324 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)324}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 324

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)324}\\\end{array}$$

Since 32 is less than 42, use the next digit 4 from dividend 324 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}00\phantom{4}\\42\overline{)324}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 324

$$\begin{array}{l}\phantom{42)}00\phantom{5}\\42\overline{)324}\\\end{array}$$

Find closest multiple of 42 to 324. We see that 7 \times 42 = 294 is the nearest. Now subtract 294 from 324 to get reminder 30. Add 7 to quotient.

$$\begin{array}{l}\phantom{42)}007\phantom{6}\\42\overline{)324}\\\phantom{42)}\underline{\phantom{}294\phantom{}}\\\phantom{42)9}30\\\end{array}$$

Since 30 is less than 42, stop the division. The reminder is 30. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }30$$

Factor

$$\frac{2 \cdot 3 ^ {3}}{7} = 7\frac{5}{7} = 7.714285714285714$$