Solve 6400div12

$$6400 \div 12$$

Evaluate

$$\frac{1600}{3}\approx 533.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6400

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)6400}\\\end{array}$$

Since 6 is less than 12, use the next digit 4 from dividend 6400 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)6400}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 6400

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)6400}\\\end{array}$$

Find closest multiple of 12 to 64. We see that 5 \times 12 = 60 is the nearest. Now subtract 60 from 64 to get reminder 4. Add 5 to quotient.

$$\begin{array}{l}\phantom{12)}05\phantom{4}\\12\overline{)6400}\\\phantom{12)}\underline{\phantom{}60\phantom{99}}\\\phantom{12)9}4\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 6400

$$\begin{array}{l}\phantom{12)}05\phantom{5}\\12\overline{)6400}\\\phantom{12)}\underline{\phantom{}60\phantom{99}}\\\phantom{12)9}40\\\end{array}$$

Find closest multiple of 12 to 40. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 40 to get reminder 4. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}053\phantom{6}\\12\overline{)6400}\\\phantom{12)}\underline{\phantom{}60\phantom{99}}\\\phantom{12)9}40\\\phantom{12)}\underline{\phantom{9}36\phantom{9}}\\\phantom{12)99}4\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6400

$$\begin{array}{l}\phantom{12)}053\phantom{7}\\12\overline{)6400}\\\phantom{12)}\underline{\phantom{}60\phantom{99}}\\\phantom{12)9}40\\\phantom{12)}\underline{\phantom{9}36\phantom{9}}\\\phantom{12)99}40\\\end{array}$$

Find closest multiple of 12 to 40. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 40 to get reminder 4. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}0533\phantom{8}\\12\overline{)6400}\\\phantom{12)}\underline{\phantom{}60\phantom{99}}\\\phantom{12)9}40\\\phantom{12)}\underline{\phantom{9}36\phantom{9}}\\\phantom{12)99}40\\\phantom{12)}\underline{\phantom{99}36\phantom{}}\\\phantom{12)999}4\\\end{array}$$

Since 4 is less than 12, stop the division. The reminder is 4. The topmost line 0533 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 533.

$$\text{Quotient: }533 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {2}}{3} = 533\frac{1}{3} = 533.3333333333334$$