Solve 344/25=

$$\frac { 344 } { 25 } =$$

Evaluate

$$\frac{344}{25}=13.76$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 344

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)344}\\\end{array}$$

Since 3 is less than 25, use the next digit 4 from dividend 344 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)344}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 344

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)344}\\\end{array}$$

Find closest multiple of 25 to 34. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 34 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)344}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)9}9\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 344

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)344}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)9}94\\\end{array}$$

Find closest multiple of 25 to 94. We see that 3 \times 25 = 75 is the nearest. Now subtract 75 from 94 to get reminder 19. Add 3 to quotient.

$$\begin{array}{l}\phantom{25)}013\phantom{6}\\25\overline{)344}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)9}94\\\phantom{25)}\underline{\phantom{9}75\phantom{}}\\\phantom{25)9}19\\\end{array}$$

Since 19 is less than 25, stop the division. The reminder is 19. The topmost line 013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }19$$

Factor

$$\frac{2 ^ {3} \cdot 43}{5 ^ {2}} = 13\frac{19}{25} = 13.76$$