Solve 6543/20

$$\frac { 6543 } { 20 }$$

Evaluate

$$\frac{6543}{20}=327.15$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6543

$$\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)6543}\\\end{array}$$

Since 6 is less than 20, use the next digit 5 from dividend 6543 and add 0 to the quotient

$$\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)6543}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 6543

$$\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)6543}\\\end{array}$$

Find closest multiple of 20 to 65. We see that 3 \times 20 = 60 is the nearest. Now subtract 60 from 65 to get reminder 5. Add 3 to quotient.

$$\begin{array}{l}\phantom{20)}03\phantom{4}\\20\overline{)6543}\\\phantom{20)}\underline{\phantom{}60\phantom{99}}\\\phantom{20)9}5\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 6543

$$\begin{array}{l}\phantom{20)}03\phantom{5}\\20\overline{)6543}\\\phantom{20)}\underline{\phantom{}60\phantom{99}}\\\phantom{20)9}54\\\end{array}$$

Find closest multiple of 20 to 54. We see that 2 \times 20 = 40 is the nearest. Now subtract 40 from 54 to get reminder 14. Add 2 to quotient.

$$\begin{array}{l}\phantom{20)}032\phantom{6}\\20\overline{)6543}\\\phantom{20)}\underline{\phantom{}60\phantom{99}}\\\phantom{20)9}54\\\phantom{20)}\underline{\phantom{9}40\phantom{9}}\\\phantom{20)9}14\\\end{array}$$

Use the 4^{th} digit 3 from dividend 6543

$$\begin{array}{l}\phantom{20)}032\phantom{7}\\20\overline{)6543}\\\phantom{20)}\underline{\phantom{}60\phantom{99}}\\\phantom{20)9}54\\\phantom{20)}\underline{\phantom{9}40\phantom{9}}\\\phantom{20)9}143\\\end{array}$$

Find closest multiple of 20 to 143. We see that 7 \times 20 = 140 is the nearest. Now subtract 140 from 143 to get reminder 3. Add 7 to quotient.

$$\begin{array}{l}\phantom{20)}0327\phantom{8}\\20\overline{)6543}\\\phantom{20)}\underline{\phantom{}60\phantom{99}}\\\phantom{20)9}54\\\phantom{20)}\underline{\phantom{9}40\phantom{9}}\\\phantom{20)9}143\\\phantom{20)}\underline{\phantom{9}140\phantom{}}\\\phantom{20)999}3\\\end{array}$$

Since 3 is less than 20, stop the division. The reminder is 3. The topmost line 0327 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 327.

$$\text{Quotient: }327 \text{Reminder: }3$$

Factor

$$\frac{3 ^ {2} \cdot 727}{2 ^ {2} \cdot 5} = 327\frac{3}{20} = 327.15$$