Solve 3200div18

$$3200 \div 18$$

Evaluate

$$\frac{1600}{9}\approx 177.777777778$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3200

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)3200}\\\end{array}$$

Since 3 is less than 18, use the next digit 2 from dividend 3200 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)3200}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 3200

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)3200}\\\end{array}$$

Find closest multiple of 18 to 32. We see that 1 \times 18 = 18 is the nearest. Now subtract 18 from 32 to get reminder 14. Add 1 to quotient.

$$\begin{array}{l}\phantom{18)}01\phantom{4}\\18\overline{)3200}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)}14\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3200

$$\begin{array}{l}\phantom{18)}01\phantom{5}\\18\overline{)3200}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)}140\\\end{array}$$

Find closest multiple of 18 to 140. We see that 7 \times 18 = 126 is the nearest. Now subtract 126 from 140 to get reminder 14. Add 7 to quotient.

$$\begin{array}{l}\phantom{18)}017\phantom{6}\\18\overline{)3200}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)}140\\\phantom{18)}\underline{\phantom{}126\phantom{9}}\\\phantom{18)9}14\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3200

$$\begin{array}{l}\phantom{18)}017\phantom{7}\\18\overline{)3200}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)}140\\\phantom{18)}\underline{\phantom{}126\phantom{9}}\\\phantom{18)9}140\\\end{array}$$

Find closest multiple of 18 to 140. We see that 7 \times 18 = 126 is the nearest. Now subtract 126 from 140 to get reminder 14. Add 7 to quotient.

$$\begin{array}{l}\phantom{18)}0177\phantom{8}\\18\overline{)3200}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)}140\\\phantom{18)}\underline{\phantom{}126\phantom{9}}\\\phantom{18)9}140\\\phantom{18)}\underline{\phantom{9}126\phantom{}}\\\phantom{18)99}14\\\end{array}$$

Since 14 is less than 18, stop the division. The reminder is 14. The topmost line 0177 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 177.

$$\text{Quotient: }177 \text{Reminder: }14$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {2}}{3 ^ {2}} = 177\frac{7}{9} = 177.77777777777777$$