Solve 3442/25

$$\frac { 3442 } { 25 }$$

Evaluate

$$\frac{3442}{25}=137.68$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3442

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)3442}\\\end{array}$$

Since 3 is less than 25, use the next digit 4 from dividend 3442 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)3442}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3442

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)3442}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)3442}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}9\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 3442

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)3442}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}94\\\end{array}$$

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.

$$\begin{array}{l}\phantom{25)}013\phantom{6}\\25\overline{)3442}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}94\\\phantom{25)}\underline{\phantom{9}75\phantom{9}}\\\phantom{25)9}19\\\end{array}$$

Use the 4^{th} digit 2 from dividend 3442

$$\begin{array}{l}\phantom{25)}013\phantom{7}\\25\overline{)3442}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}94\\\phantom{25)}\underline{\phantom{9}75\phantom{9}}\\\phantom{25)9}192\\\end{array}$$

Find closest multiple of 25 to 192. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 192 to get reminder 17. Add 7 to quotient.

$$\begin{array}{l}\phantom{25)}0137\phantom{8}\\25\overline{)3442}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}94\\\phantom{25)}\underline{\phantom{9}75\phantom{9}}\\\phantom{25)9}192\\\phantom{25)}\underline{\phantom{9}175\phantom{}}\\\phantom{25)99}17\\\end{array}$$

Since 17 is less than 25, stop the division. The reminder is 17. The topmost line 0137 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 137.

$$\text{Quotient: }137 \text{Reminder: }17$$

Factor

$$\frac{2 \cdot 1721}{5 ^ {2}} = 137\frac{17}{25} = 137.68$$