Solve 3000div24

$$3000 \div 24$$

Evaluate

$$125$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3000

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)3000}\\\end{array}$$

Since 3 is less than 24, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)3000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)3000}\\\end{array}$$

Find closest multiple of 24 to 30. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 30 to get reminder 6. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)3000}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}6\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)3000}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}60\\\end{array}$$

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.

$$\begin{array}{l}\phantom{24)}012\phantom{6}\\24\overline{)3000}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}60\\\phantom{24)}\underline{\phantom{9}48\phantom{9}}\\\phantom{24)9}12\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{24)}012\phantom{7}\\24\overline{)3000}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}60\\\phantom{24)}\underline{\phantom{9}48\phantom{9}}\\\phantom{24)9}120\\\end{array}$$

Find closest multiple of 24 to 120. We see that 5 \times 24 = 120 is the nearest. Now subtract 120 from 120 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{24)}0125\phantom{8}\\24\overline{)3000}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}60\\\phantom{24)}\underline{\phantom{9}48\phantom{9}}\\\phantom{24)9}120\\\phantom{24)}\underline{\phantom{9}120\phantom{}}\\\phantom{24)9999}0\\\end{array}$$

Since 0 is less than 24, stop the division. The reminder is 0. The topmost line 0125 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 125.

$$\text{Quotient: }125 \text{Reminder: }0$$

Factor

$$5^{3}$$