Solve 1536div12

$$1536 \div 12$$

Evaluate

$$128$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1536

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1536}\\\end{array}$$

Since 1 is less than 12, use the next digit 5 from dividend 1536 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1536}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 1536

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1536}\\\end{array}$$

Find closest multiple of 12 to 15. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 15 to get reminder 3. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1536}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}3\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 1536

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1536}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}33\\\end{array}$$

Find closest multiple of 12 to 33. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 33 to get reminder 9. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}012\phantom{6}\\12\overline{)1536}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}33\\\phantom{12)}\underline{\phantom{9}24\phantom{9}}\\\phantom{12)99}9\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1536

$$\begin{array}{l}\phantom{12)}012\phantom{7}\\12\overline{)1536}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}33\\\phantom{12)}\underline{\phantom{9}24\phantom{9}}\\\phantom{12)99}96\\\end{array}$$

Find closest multiple of 12 to 96. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 96 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}0128\phantom{8}\\12\overline{)1536}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}33\\\phantom{12)}\underline{\phantom{9}24\phantom{9}}\\\phantom{12)99}96\\\phantom{12)}\underline{\phantom{99}96\phantom{}}\\\phantom{12)9999}0\\\end{array}$$

Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 0128 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 128.

$$\text{Quotient: }128 \text{Reminder: }0$$

Factor

$$2^{7}$$