Solve 50,259/24

$$\frac { 50,259 } { 24 }$$

Evaluate

$$\frac{16753}{8}=2094.125$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 50259

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)50259}\\\end{array}$$

Since 5 is less than 24, use the next digit 0 from dividend 50259 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)50259}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 50259

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)50259}\\\end{array}$$

Find closest multiple of 24 to 50. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 50 to get reminder 2. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}02\phantom{4}\\24\overline{)50259}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}2\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 50259

$$\begin{array}{l}\phantom{24)}02\phantom{5}\\24\overline{)50259}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}22\\\end{array}$$

Since 22 is less than 24, use the next digit 5 from dividend 50259 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}020\phantom{6}\\24\overline{)50259}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}22\\\end{array}$$

Use the 4^{th} digit 5 from dividend 50259

$$\begin{array}{l}\phantom{24)}020\phantom{7}\\24\overline{)50259}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}225\\\end{array}$$

Find closest multiple of 24 to 225. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 225 to get reminder 9. Add 9 to quotient.

$$\begin{array}{l}\phantom{24)}0209\phantom{8}\\24\overline{)50259}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}225\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)999}9\\\end{array}$$

Use the 5^{th} digit 9 from dividend 50259

$$\begin{array}{l}\phantom{24)}0209\phantom{9}\\24\overline{)50259}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}225\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)999}99\\\end{array}$$

Find closest multiple of 24 to 99. We see that 4 \times 24 = 96 is the nearest. Now subtract 96 from 99 to get reminder 3. Add 4 to quotient.

$$\begin{array}{l}\phantom{24)}02094\phantom{10}\\24\overline{)50259}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)9}225\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)999}99\\\phantom{24)}\underline{\phantom{999}96\phantom{}}\\\phantom{24)9999}3\\\end{array}$$

Since 3 is less than 24, stop the division. The reminder is 3. The topmost line 02094 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2094.

$$\text{Quotient: }2094 \text{Reminder: }3$$

Factor

$$\frac{11 \cdot 1523}{2 ^ {3}} = 2094\frac{1}{8} = 2094.125$$