Solve 725div34

$$725 \div 34$$

Evaluate

$$\frac{725}{34}\approx 21.323529412$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 725

$$\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)725}\\\end{array}$$

Since 7 is less than 34, use the next digit 2 from dividend 725 and add 0 to the quotient

$$\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)725}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 725

$$\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)725}\\\end{array}$$

Find closest multiple of 34 to 72. We see that 2 \times 34 = 68 is the nearest. Now subtract 68 from 72 to get reminder 4. Add 2 to quotient.

$$\begin{array}{l}\phantom{34)}02\phantom{4}\\34\overline{)725}\\\phantom{34)}\underline{\phantom{}68\phantom{9}}\\\phantom{34)9}4\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 725

$$\begin{array}{l}\phantom{34)}02\phantom{5}\\34\overline{)725}\\\phantom{34)}\underline{\phantom{}68\phantom{9}}\\\phantom{34)9}45\\\end{array}$$

Find closest multiple of 34 to 45. We see that 1 \times 34 = 34 is the nearest. Now subtract 34 from 45 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{34)}021\phantom{6}\\34\overline{)725}\\\phantom{34)}\underline{\phantom{}68\phantom{9}}\\\phantom{34)9}45\\\phantom{34)}\underline{\phantom{9}34\phantom{}}\\\phantom{34)9}11\\\end{array}$$

Since 11 is less than 34, stop the division. The reminder is 11. The topmost line 021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.

$$\text{Quotient: }21 \text{Reminder: }11$$

Factor

$$\frac{5 ^ {2} \cdot 29}{2 \cdot 17} = 21\frac{11}{34} = 21.323529411764707$$