Solve 9876/18

$$\frac { 9876 } { 18 }$$

Evaluate

$$\frac{1646}{3}\approx 548.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9876

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)9876}\\\end{array}$$

Since 9 is less than 18, use the next digit 8 from dividend 9876 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)9876}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 9876

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)9876}\\\end{array}$$

Find closest multiple of 18 to 98. We see that 5 \times 18 = 90 is the nearest. Now subtract 90 from 98 to get reminder 8. Add 5 to quotient.

$$\begin{array}{l}\phantom{18)}05\phantom{4}\\18\overline{)9876}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}8\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 9876

$$\begin{array}{l}\phantom{18)}05\phantom{5}\\18\overline{)9876}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}87\\\end{array}$$

Find closest multiple of 18 to 87. We see that 4 \times 18 = 72 is the nearest. Now subtract 72 from 87 to get reminder 15. Add 4 to quotient.

$$\begin{array}{l}\phantom{18)}054\phantom{6}\\18\overline{)9876}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}87\\\phantom{18)}\underline{\phantom{9}72\phantom{9}}\\\phantom{18)9}15\\\end{array}$$

Use the 4^{th} digit 6 from dividend 9876

$$\begin{array}{l}\phantom{18)}054\phantom{7}\\18\overline{)9876}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}87\\\phantom{18)}\underline{\phantom{9}72\phantom{9}}\\\phantom{18)9}156\\\end{array}$$

Find closest multiple of 18 to 156. We see that 8 \times 18 = 144 is the nearest. Now subtract 144 from 156 to get reminder 12. Add 8 to quotient.

$$\begin{array}{l}\phantom{18)}0548\phantom{8}\\18\overline{)9876}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}87\\\phantom{18)}\underline{\phantom{9}72\phantom{9}}\\\phantom{18)9}156\\\phantom{18)}\underline{\phantom{9}144\phantom{}}\\\phantom{18)99}12\\\end{array}$$

Since 12 is less than 18, stop the division. The reminder is 12. The topmost line 0548 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 548.

$$\text{Quotient: }548 \text{Reminder: }12$$

Factor

$$\frac{2 \cdot 823}{3} = 548\frac{2}{3} = 548.6666666666666$$