Solve 546div24

$$546 \div 24$$

Evaluate

$$\frac{91}{4}=22.75$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 546

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)546}\\\end{array}$$

Since 5 is less than 24, use the next digit 4 from dividend 546 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)546}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 546

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)546}\\\end{array}$$

Find closest multiple of 24 to 54. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 54 to get reminder 6. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}02\phantom{4}\\24\overline{)546}\\\phantom{24)}\underline{\phantom{}48\phantom{9}}\\\phantom{24)9}6\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 546

$$\begin{array}{l}\phantom{24)}02\phantom{5}\\24\overline{)546}\\\phantom{24)}\underline{\phantom{}48\phantom{9}}\\\phantom{24)9}66\\\end{array}$$

Find closest multiple of 24 to 66. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 66 to get reminder 18. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}022\phantom{6}\\24\overline{)546}\\\phantom{24)}\underline{\phantom{}48\phantom{9}}\\\phantom{24)9}66\\\phantom{24)}\underline{\phantom{9}48\phantom{}}\\\phantom{24)9}18\\\end{array}$$

Since 18 is less than 24, stop the division. The reminder is 18. The topmost line 022 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22.

$$\text{Quotient: }22 \text{Reminder: }18$$

Factor

$$\frac{7 \cdot 13}{2 ^ {2}} = 22\frac{3}{4} = 22.75$$