Solve 569div23

$$569 \div 23$$

Evaluate

$$\frac{569}{23}\approx 24.739130435$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 569

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)569}\\\end{array}$$

Since 5 is less than 23, use the next digit 6 from dividend 569 and add 0 to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)569}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 569

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)569}\\\end{array}$$

Find closest multiple of 23 to 56. We see that 2 \times 23 = 46 is the nearest. Now subtract 46 from 56 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{23)}02\phantom{4}\\23\overline{)569}\\\phantom{23)}\underline{\phantom{}46\phantom{9}}\\\phantom{23)}10\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 569

$$\begin{array}{l}\phantom{23)}02\phantom{5}\\23\overline{)569}\\\phantom{23)}\underline{\phantom{}46\phantom{9}}\\\phantom{23)}109\\\end{array}$$

Find closest multiple of 23 to 109. We see that 4 \times 23 = 92 is the nearest. Now subtract 92 from 109 to get reminder 17. Add 4 to quotient.

$$\begin{array}{l}\phantom{23)}024\phantom{6}\\23\overline{)569}\\\phantom{23)}\underline{\phantom{}46\phantom{9}}\\\phantom{23)}109\\\phantom{23)}\underline{\phantom{9}92\phantom{}}\\\phantom{23)9}17\\\end{array}$$

Since 17 is less than 23, stop the division. The reminder is 17. The topmost line 024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }17$$

Factor

$$\frac{569}{23} = 24\frac{17}{23} = 24.73913043478261$$