Solve 59835/24

$$59835 / 24$$

Evaluate

$$\frac{19945}{8}=2493.125$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 59835

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)59835}\\\end{array}$$

Since 5 is less than 24, use the next digit 9 from dividend 59835 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)59835}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 59835

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)59835}\\\end{array}$$

Find closest multiple of 24 to 59. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 59 to get reminder 11. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}02\phantom{4}\\24\overline{)59835}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}11\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 59835

$$\begin{array}{l}\phantom{24)}02\phantom{5}\\24\overline{)59835}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}118\\\end{array}$$

Find closest multiple of 24 to 118. We see that 4 \times 24 = 96 is the nearest. Now subtract 96 from 118 to get reminder 22. Add 4 to quotient.

$$\begin{array}{l}\phantom{24)}024\phantom{6}\\24\overline{)59835}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}118\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}22\\\end{array}$$

Use the 4^{th} digit 3 from dividend 59835

$$\begin{array}{l}\phantom{24)}024\phantom{7}\\24\overline{)59835}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}118\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}223\\\end{array}$$

Find closest multiple of 24 to 223. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 223 to get reminder 7. Add 9 to quotient.

$$\begin{array}{l}\phantom{24)}0249\phantom{8}\\24\overline{)59835}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}118\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}223\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)999}7\\\end{array}$$

Use the 5^{th} digit 5 from dividend 59835

$$\begin{array}{l}\phantom{24)}0249\phantom{9}\\24\overline{)59835}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}118\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}223\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)999}75\\\end{array}$$

Find closest multiple of 24 to 75. We see that 3 \times 24 = 72 is the nearest. Now subtract 72 from 75 to get reminder 3. Add 3 to quotient.

$$\begin{array}{l}\phantom{24)}02493\phantom{10}\\24\overline{)59835}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}118\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}223\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)999}75\\\phantom{24)}\underline{\phantom{999}72\phantom{}}\\\phantom{24)9999}3\\\end{array}$$

Since 3 is less than 24, stop the division. The reminder is 3. The topmost line 02493 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2493.

$$\text{Quotient: }2493 \text{Reminder: }3$$

Factor

$$\frac{5 \cdot 3989}{2 ^ {3}} = 2493\frac{1}{8} = 2493.125$$