Solve 5700/24

$$\frac{ 5700 }{ 24 }$$

Evaluate

$$\frac{475}{2}=237.5$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5700

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)5700}\\\end{array}$$

Since 5 is less than 24, use the next digit 7 from dividend 5700 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)5700}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 5700

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)5700}\\\end{array}$$

Find closest multiple of 24 to 57. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 57 to get reminder 9. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}02\phantom{4}\\24\overline{)5700}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)9}9\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 5700

$$\begin{array}{l}\phantom{24)}02\phantom{5}\\24\overline{)5700}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)9}90\\\end{array}$$

Find closest multiple of 24 to 90. We see that 3 \times 24 = 72 is the nearest. Now subtract 72 from 90 to get reminder 18. Add 3 to quotient.

$$\begin{array}{l}\phantom{24)}023\phantom{6}\\24\overline{)5700}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)9}90\\\phantom{24)}\underline{\phantom{9}72\phantom{9}}\\\phantom{24)9}18\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5700

$$\begin{array}{l}\phantom{24)}023\phantom{7}\\24\overline{)5700}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)9}90\\\phantom{24)}\underline{\phantom{9}72\phantom{9}}\\\phantom{24)9}180\\\end{array}$$

Find closest multiple of 24 to 180. We see that 7 \times 24 = 168 is the nearest. Now subtract 168 from 180 to get reminder 12. Add 7 to quotient.

$$\begin{array}{l}\phantom{24)}0237\phantom{8}\\24\overline{)5700}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)9}90\\\phantom{24)}\underline{\phantom{9}72\phantom{9}}\\\phantom{24)9}180\\\phantom{24)}\underline{\phantom{9}168\phantom{}}\\\phantom{24)99}12\\\end{array}$$

Since 12 is less than 24, stop the division. The reminder is 12. The topmost line 0237 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 237.

$$\text{Quotient: }237 \text{Reminder: }12$$

Factor

$$\frac{5 ^ {2} \cdot 19}{2} = 237\frac{1}{2} = 237.5$$