Solve 6432div21

$$6432 \div 21$$

Evaluate

$$\frac{2144}{7}\approx 306.285714286$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6432

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)6432}\\\end{array}$$

Since 6 is less than 21, use the next digit 4 from dividend 6432 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)6432}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 6432

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)6432}\\\end{array}$$

Find closest multiple of 21 to 64. We see that 3 \times 21 = 63 is the nearest. Now subtract 63 from 64 to get reminder 1. Add 3 to quotient.

$$\begin{array}{l}\phantom{21)}03\phantom{4}\\21\overline{)6432}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)9}1\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 6432

$$\begin{array}{l}\phantom{21)}03\phantom{5}\\21\overline{)6432}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)9}13\\\end{array}$$

Since 13 is less than 21, use the next digit 2 from dividend 6432 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}030\phantom{6}\\21\overline{)6432}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)9}13\\\end{array}$$

Use the 4^{th} digit 2 from dividend 6432

$$\begin{array}{l}\phantom{21)}030\phantom{7}\\21\overline{)6432}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)9}132\\\end{array}$$

Find closest multiple of 21 to 132. We see that 6 \times 21 = 126 is the nearest. Now subtract 126 from 132 to get reminder 6. Add 6 to quotient.

$$\begin{array}{l}\phantom{21)}0306\phantom{8}\\21\overline{)6432}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)9}132\\\phantom{21)}\underline{\phantom{9}126\phantom{}}\\\phantom{21)999}6\\\end{array}$$

Since 6 is less than 21, stop the division. The reminder is 6. The topmost line 0306 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 306.

$$\text{Quotient: }306 \text{Reminder: }6$$

Factor

$$\frac{2 ^ {5} \cdot 67}{7} = 306\frac{2}{7} = 306.2857142857143$$