Solve 598/18

$$598 / 18$$

Evaluate

$$\frac{299}{9}\approx 33.222222222$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 598

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)598}\\\end{array}$$

Since 5 is less than 18, use the next digit 9 from dividend 598 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)598}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 598

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)598}\\\end{array}$$

Find closest multiple of 18 to 59. We see that 3 \times 18 = 54 is the nearest. Now subtract 54 from 59 to get reminder 5. Add 3 to quotient.

$$\begin{array}{l}\phantom{18)}03\phantom{4}\\18\overline{)598}\\\phantom{18)}\underline{\phantom{}54\phantom{9}}\\\phantom{18)9}5\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 598

$$\begin{array}{l}\phantom{18)}03\phantom{5}\\18\overline{)598}\\\phantom{18)}\underline{\phantom{}54\phantom{9}}\\\phantom{18)9}58\\\end{array}$$

Find closest multiple of 18 to 58. We see that 3 \times 18 = 54 is the nearest. Now subtract 54 from 58 to get reminder 4. Add 3 to quotient.

$$\begin{array}{l}\phantom{18)}033\phantom{6}\\18\overline{)598}\\\phantom{18)}\underline{\phantom{}54\phantom{9}}\\\phantom{18)9}58\\\phantom{18)}\underline{\phantom{9}54\phantom{}}\\\phantom{18)99}4\\\end{array}$$

Since 4 is less than 18, stop the division. The reminder is 4. The topmost line 033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.

$$\text{Quotient: }33 \text{Reminder: }4$$

Factor

$$\frac{13 \cdot 23}{3 ^ {2}} = 33\frac{2}{9} = 33.22222222222222$$