Solve 1824divquad12

$$1824 \div \quad 12$$

Evaluate

$$152$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1824

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1824}\\\end{array}$$

Since 1 is less than 12, use the next digit 8 from dividend 1824 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1824}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 1824

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1824}\\\end{array}$$

Find closest multiple of 12 to 18. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 18 to get reminder 6. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1824}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}6\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1824

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1824}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}62\\\end{array}$$

Find closest multiple of 12 to 62. We see that 5 \times 12 = 60 is the nearest. Now subtract 60 from 62 to get reminder 2. Add 5 to quotient.

$$\begin{array}{l}\phantom{12)}015\phantom{6}\\12\overline{)1824}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}62\\\phantom{12)}\underline{\phantom{9}60\phantom{9}}\\\phantom{12)99}2\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1824

$$\begin{array}{l}\phantom{12)}015\phantom{7}\\12\overline{)1824}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}62\\\phantom{12)}\underline{\phantom{9}60\phantom{9}}\\\phantom{12)99}24\\\end{array}$$

Find closest multiple of 12 to 24. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 24 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}0152\phantom{8}\\12\overline{)1824}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}62\\\phantom{12)}\underline{\phantom{9}60\phantom{9}}\\\phantom{12)99}24\\\phantom{12)}\underline{\phantom{99}24\phantom{}}\\\phantom{12)9999}0\\\end{array}$$

Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 0152 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 152.

$$\text{Quotient: }152 \text{Reminder: }0$$

Factor

$$2^{3}\times 19$$