Solve 6300div24

$$6300 \div 24$$

Evaluate

$$\frac{525}{2}=262.5$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6300

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)6300}\\\end{array}$$

Since 6 is less than 24, use the next digit 3 from dividend 6300 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)6300}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 6300

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)6300}\\\end{array}$$

Find closest multiple of 24 to 63. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 63 to get reminder 15. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}02\phantom{4}\\24\overline{)6300}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}15\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 6300

$$\begin{array}{l}\phantom{24)}02\phantom{5}\\24\overline{)6300}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}150\\\end{array}$$

Find closest multiple of 24 to 150. We see that 6 \times 24 = 144 is the nearest. Now subtract 144 from 150 to get reminder 6. Add 6 to quotient.

$$\begin{array}{l}\phantom{24)}026\phantom{6}\\24\overline{)6300}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}150\\\phantom{24)}\underline{\phantom{}144\phantom{9}}\\\phantom{24)99}6\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6300

$$\begin{array}{l}\phantom{24)}026\phantom{7}\\24\overline{)6300}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}150\\\phantom{24)}\underline{\phantom{}144\phantom{9}}\\\phantom{24)99}60\\\end{array}$$

Find closest multiple of 24 to 60. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 60 to get reminder 12. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}0262\phantom{8}\\24\overline{)6300}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}150\\\phantom{24)}\underline{\phantom{}144\phantom{9}}\\\phantom{24)99}60\\\phantom{24)}\underline{\phantom{99}48\phantom{}}\\\phantom{24)99}12\\\end{array}$$

Since 12 is less than 24, stop the division. The reminder is 12. The topmost line 0262 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 262.

$$\text{Quotient: }262 \text{Reminder: }12$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 7}{2} = 262\frac{1}{2} = 262.5$$