Solve 35900div24

$$35900 \div 24$$

Evaluate

$$\frac{8975}{6}\approx 1495.833333333$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 35900

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)35900}\\\end{array}$$

Since 3 is less than 24, use the next digit 5 from dividend 35900 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)35900}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 35900

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)35900}\\\end{array}$$

Find closest multiple of 24 to 35. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 35 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)35900}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)}11\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 35900

$$\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)35900}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)}119\\\end{array}$$

Find closest multiple of 24 to 119. We see that 4 \times 24 = 96 is the nearest. Now subtract 96 from 119 to get reminder 23. Add 4 to quotient.

$$\begin{array}{l}\phantom{24)}014\phantom{6}\\24\overline{)35900}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)}119\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}23\\\end{array}$$

Use the 4^{th} digit 0 from dividend 35900

$$\begin{array}{l}\phantom{24)}014\phantom{7}\\24\overline{)35900}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)}119\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}230\\\end{array}$$

Find closest multiple of 24 to 230. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 230 to get reminder 14. Add 9 to quotient.

$$\begin{array}{l}\phantom{24)}0149\phantom{8}\\24\overline{)35900}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)}119\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}230\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)99}14\\\end{array}$$

Use the 5^{th} digit 0 from dividend 35900

$$\begin{array}{l}\phantom{24)}0149\phantom{9}\\24\overline{)35900}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)}119\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}230\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)99}140\\\end{array}$$

Find closest multiple of 24 to 140. We see that 5 \times 24 = 120 is the nearest. Now subtract 120 from 140 to get reminder 20. Add 5 to quotient.

$$\begin{array}{l}\phantom{24)}01495\phantom{10}\\24\overline{)35900}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)}119\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}230\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)99}140\\\phantom{24)}\underline{\phantom{99}120\phantom{}}\\\phantom{24)999}20\\\end{array}$$

Since 20 is less than 24, stop the division. The reminder is 20. The topmost line 01495 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1495.

$$\text{Quotient: }1495 \text{Reminder: }20$$

Factor

$$\frac{5 ^ {2} \cdot 359}{2 \cdot 3} = 1495\frac{5}{6} = 1495.8333333333333$$