Solve 526div24

$$526 \div 24$$

Evaluate

$$\frac{263}{12}\approx 21.916666667$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 526

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)526}\\\end{array}$$

Since 5 is less than 24, use the next digit 2 from dividend 526 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)526}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 526

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)526}\\\end{array}$$

Find closest multiple of 24 to 52. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 52 to get reminder 4. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}02\phantom{4}\\24\overline{)526}\\\phantom{24)}\underline{\phantom{}48\phantom{9}}\\\phantom{24)9}4\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 526

$$\begin{array}{l}\phantom{24)}02\phantom{5}\\24\overline{)526}\\\phantom{24)}\underline{\phantom{}48\phantom{9}}\\\phantom{24)9}46\\\end{array}$$

Find closest multiple of 24 to 46. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 46 to get reminder 22. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}021\phantom{6}\\24\overline{)526}\\\phantom{24)}\underline{\phantom{}48\phantom{9}}\\\phantom{24)9}46\\\phantom{24)}\underline{\phantom{9}24\phantom{}}\\\phantom{24)9}22\\\end{array}$$

Since 22 is less than 24, stop the division. The reminder is 22. The topmost line 021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.

$$\text{Quotient: }21 \text{Reminder: }22$$

Factor

$$\frac{263}{2 ^ {2} \cdot 3} = 21\frac{11}{12} = 21.916666666666668$$