Solve 558div24

$$558 \div 24$$

Evaluate

$$\frac{93}{4}=23.25$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 558

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)558}\\\end{array}$$

Since 5 is less than 24, use the next digit 5 from dividend 558 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)558}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 558

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)558}\\\end{array}$$

Find closest multiple of 24 to 55. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 55 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}02\phantom{4}\\24\overline{)558}\\\phantom{24)}\underline{\phantom{}48\phantom{9}}\\\phantom{24)9}7\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 558

$$\begin{array}{l}\phantom{24)}02\phantom{5}\\24\overline{)558}\\\phantom{24)}\underline{\phantom{}48\phantom{9}}\\\phantom{24)9}78\\\end{array}$$

Find closest multiple of 24 to 78. We see that 3 \times 24 = 72 is the nearest. Now subtract 72 from 78 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{24)}023\phantom{6}\\24\overline{)558}\\\phantom{24)}\underline{\phantom{}48\phantom{9}}\\\phantom{24)9}78\\\phantom{24)}\underline{\phantom{9}72\phantom{}}\\\phantom{24)99}6\\\end{array}$$

Since 6 is less than 24, stop the division. The reminder is 6. The topmost line 023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.

$$\text{Quotient: }23 \text{Reminder: }6$$

Factor

$$\frac{3 \cdot 31}{2 ^ {2}} = 23\frac{1}{4} = 23.25$$