Solve 748div25

$$748 \div 25$$

Evaluate

$$\frac{748}{25}=29.92$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 748

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)748}\\\end{array}$$

Since 7 is less than 25, use the next digit 4 from dividend 748 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)748}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 748

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)748}\\\end{array}$$

Find closest multiple of 25 to 74. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 74 to get reminder 24. Add 2 to quotient.

$$\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)748}\\\phantom{25)}\underline{\phantom{}50\phantom{9}}\\\phantom{25)}24\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 748

$$\begin{array}{l}\phantom{25)}02\phantom{5}\\25\overline{)748}\\\phantom{25)}\underline{\phantom{}50\phantom{9}}\\\phantom{25)}248\\\end{array}$$

Find closest multiple of 25 to 248. We see that 9 \times 25 = 225 is the nearest. Now subtract 225 from 248 to get reminder 23. Add 9 to quotient.

$$\begin{array}{l}\phantom{25)}029\phantom{6}\\25\overline{)748}\\\phantom{25)}\underline{\phantom{}50\phantom{9}}\\\phantom{25)}248\\\phantom{25)}\underline{\phantom{}225\phantom{}}\\\phantom{25)9}23\\\end{array}$$

Since 23 is less than 25, stop the division. The reminder is 23. The topmost line 029 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29.

$$\text{Quotient: }29 \text{Reminder: }23$$

Factor

$$\frac{2 ^ {2} \cdot 11 \cdot 17}{5 ^ {2}} = 29\frac{23}{25} = 29.92$$