Solve 374932div24

$$374932 \div 24$$

Evaluate

$$\frac{93733}{6}\approx 15622.166666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 374932

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)374932}\\\end{array}$$

Since 3 is less than 24, use the next digit 7 from dividend 374932 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)374932}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 374932

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)374932}\\\end{array}$$

Find closest multiple of 24 to 37. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 37 to get reminder 13. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)374932}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}13\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 374932

$$\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)374932}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}134\\\end{array}$$

Find closest multiple of 24 to 134. We see that 5 \times 24 = 120 is the nearest. Now subtract 120 from 134 to get reminder 14. Add 5 to quotient.

$$\begin{array}{l}\phantom{24)}015\phantom{6}\\24\overline{)374932}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}134\\\phantom{24)}\underline{\phantom{}120\phantom{999}}\\\phantom{24)9}14\\\end{array}$$

Use the 4^{th} digit 9 from dividend 374932

$$\begin{array}{l}\phantom{24)}015\phantom{7}\\24\overline{)374932}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}134\\\phantom{24)}\underline{\phantom{}120\phantom{999}}\\\phantom{24)9}149\\\end{array}$$

Find closest multiple of 24 to 149. We see that 6 \times 24 = 144 is the nearest. Now subtract 144 from 149 to get reminder 5. Add 6 to quotient.

$$\begin{array}{l}\phantom{24)}0156\phantom{8}\\24\overline{)374932}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}134\\\phantom{24)}\underline{\phantom{}120\phantom{999}}\\\phantom{24)9}149\\\phantom{24)}\underline{\phantom{9}144\phantom{99}}\\\phantom{24)999}5\\\end{array}$$

Use the 5^{th} digit 3 from dividend 374932

$$\begin{array}{l}\phantom{24)}0156\phantom{9}\\24\overline{)374932}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}134\\\phantom{24)}\underline{\phantom{}120\phantom{999}}\\\phantom{24)9}149\\\phantom{24)}\underline{\phantom{9}144\phantom{99}}\\\phantom{24)999}53\\\end{array}$$

Find closest multiple of 24 to 53. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 53 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}01562\phantom{10}\\24\overline{)374932}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}134\\\phantom{24)}\underline{\phantom{}120\phantom{999}}\\\phantom{24)9}149\\\phantom{24)}\underline{\phantom{9}144\phantom{99}}\\\phantom{24)999}53\\\phantom{24)}\underline{\phantom{999}48\phantom{9}}\\\phantom{24)9999}5\\\end{array}$$

Use the 6^{th} digit 2 from dividend 374932

$$\begin{array}{l}\phantom{24)}01562\phantom{11}\\24\overline{)374932}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}134\\\phantom{24)}\underline{\phantom{}120\phantom{999}}\\\phantom{24)9}149\\\phantom{24)}\underline{\phantom{9}144\phantom{99}}\\\phantom{24)999}53\\\phantom{24)}\underline{\phantom{999}48\phantom{9}}\\\phantom{24)9999}52\\\end{array}$$

Find closest multiple of 24 to 52. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 52 to get reminder 4. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}015622\phantom{12}\\24\overline{)374932}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}134\\\phantom{24)}\underline{\phantom{}120\phantom{999}}\\\phantom{24)9}149\\\phantom{24)}\underline{\phantom{9}144\phantom{99}}\\\phantom{24)999}53\\\phantom{24)}\underline{\phantom{999}48\phantom{9}}\\\phantom{24)9999}52\\\phantom{24)}\underline{\phantom{9999}48\phantom{}}\\\phantom{24)99999}4\\\end{array}$$

Since 4 is less than 24, stop the division. The reminder is 4. The topmost line 015622 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15622.

$$\text{Quotient: }15622 \text{Reminder: }4$$

Factor

$$\frac{67 \cdot 1399}{2 \cdot 3} = 15622\frac{1}{6} = 15622.166666666666$$