Solve 233div13

$$233 \div 13$$

Evaluate

$$\frac{233}{13}\approx 17.923076923$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 233

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)233}\\\end{array}$$

Since 2 is less than 13, use the next digit 3 from dividend 233 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)233}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 233

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)233}\\\end{array}$$

Find closest multiple of 13 to 23. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 23 to get reminder 10. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}01\phantom{4}\\13\overline{)233}\\\phantom{13)}\underline{\phantom{}13\phantom{9}}\\\phantom{13)}10\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 233

$$\begin{array}{l}\phantom{13)}01\phantom{5}\\13\overline{)233}\\\phantom{13)}\underline{\phantom{}13\phantom{9}}\\\phantom{13)}103\\\end{array}$$

Find closest multiple of 13 to 103. We see that 7 \times 13 = 91 is the nearest. Now subtract 91 from 103 to get reminder 12. Add 7 to quotient.

$$\begin{array}{l}\phantom{13)}017\phantom{6}\\13\overline{)233}\\\phantom{13)}\underline{\phantom{}13\phantom{9}}\\\phantom{13)}103\\\phantom{13)}\underline{\phantom{9}91\phantom{}}\\\phantom{13)9}12\\\end{array}$$

Since 12 is less than 13, stop the division. The reminder is 12. The topmost line 017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }12$$

Factor

$$\frac{233}{13} = 17\frac{12}{13} = 17.923076923076923$$