Solve 1258div24

$$1258 \div 24$$

Evaluate

$$\frac{629}{12}\approx 52.416666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1258

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)1258}\\\end{array}$$

Since 1 is less than 24, use the next digit 2 from dividend 1258 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)1258}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1258

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)1258}\\\end{array}$$

Since 12 is less than 24, use the next digit 5 from dividend 1258 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)1258}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1258

$$\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)1258}\\\end{array}$$

Find closest multiple of 24 to 125. We see that 5 \times 24 = 120 is the nearest. Now subtract 120 from 125 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{24)}005\phantom{6}\\24\overline{)1258}\\\phantom{24)}\underline{\phantom{}120\phantom{9}}\\\phantom{24)99}5\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1258

$$\begin{array}{l}\phantom{24)}005\phantom{7}\\24\overline{)1258}\\\phantom{24)}\underline{\phantom{}120\phantom{9}}\\\phantom{24)99}58\\\end{array}$$

Find closest multiple of 24 to 58. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 58 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}0052\phantom{8}\\24\overline{)1258}\\\phantom{24)}\underline{\phantom{}120\phantom{9}}\\\phantom{24)99}58\\\phantom{24)}\underline{\phantom{99}48\phantom{}}\\\phantom{24)99}10\\\end{array}$$

Since 10 is less than 24, stop the division. The reminder is 10. The topmost line 0052 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 52.

$$\text{Quotient: }52 \text{Reminder: }10$$

Factor

$$\frac{17 \cdot 37}{2 ^ {2} \cdot 3} = 52\frac{5}{12} = 52.416666666666664$$