Solve 259div23=

$$259 \div 23=$$

Evaluate

$$\frac{259}{23}\approx 11.260869565$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 259

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)259}\\\end{array}$$

Since 2 is less than 23, use the next digit 5 from dividend 259 and add 0 to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)259}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 259

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)259}\\\end{array}$$

Find closest multiple of 23 to 25. We see that 1 \times 23 = 23 is the nearest. Now subtract 23 from 25 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{23)}01\phantom{4}\\23\overline{)259}\\\phantom{23)}\underline{\phantom{}23\phantom{9}}\\\phantom{23)9}2\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 259

$$\begin{array}{l}\phantom{23)}01\phantom{5}\\23\overline{)259}\\\phantom{23)}\underline{\phantom{}23\phantom{9}}\\\phantom{23)9}29\\\end{array}$$

Find closest multiple of 23 to 29. We see that 1 \times 23 = 23 is the nearest. Now subtract 23 from 29 to get reminder 6. Add 1 to quotient.

$$\begin{array}{l}\phantom{23)}011\phantom{6}\\23\overline{)259}\\\phantom{23)}\underline{\phantom{}23\phantom{9}}\\\phantom{23)9}29\\\phantom{23)}\underline{\phantom{9}23\phantom{}}\\\phantom{23)99}6\\\end{array}$$

Since 6 is less than 23, stop the division. The reminder is 6. The topmost line 011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }6$$

Factor

$$\frac{7 \cdot 37}{23} = 11\frac{6}{23} = 11.26086956521739$$