Solve 37857div25

$$37857 \div 25$$

Evaluate

$$\frac{37857}{25}=1514.28$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 37857

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)37857}\\\end{array}$$

Since 3 is less than 25, use the next digit 7 from dividend 37857 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)37857}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 37857

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)37857}\\\end{array}$$

Find closest multiple of 25 to 37. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 37 to get reminder 12. Add 1 to quotient.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)37857}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)}12\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 37857

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)37857}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)}128\\\end{array}$$

Find closest multiple of 25 to 128. We see that 5 \times 25 = 125 is the nearest. Now subtract 125 from 128 to get reminder 3. Add 5 to quotient.

$$\begin{array}{l}\phantom{25)}015\phantom{6}\\25\overline{)37857}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)}128\\\phantom{25)}\underline{\phantom{}125\phantom{99}}\\\phantom{25)99}3\\\end{array}$$

Use the 4^{th} digit 5 from dividend 37857

$$\begin{array}{l}\phantom{25)}015\phantom{7}\\25\overline{)37857}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)}128\\\phantom{25)}\underline{\phantom{}125\phantom{99}}\\\phantom{25)99}35\\\end{array}$$

Find closest multiple of 25 to 35. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 35 to get reminder 10. Add 1 to quotient.

$$\begin{array}{l}\phantom{25)}0151\phantom{8}\\25\overline{)37857}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)}128\\\phantom{25)}\underline{\phantom{}125\phantom{99}}\\\phantom{25)99}35\\\phantom{25)}\underline{\phantom{99}25\phantom{9}}\\\phantom{25)99}10\\\end{array}$$

Use the 5^{th} digit 7 from dividend 37857

$$\begin{array}{l}\phantom{25)}0151\phantom{9}\\25\overline{)37857}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)}128\\\phantom{25)}\underline{\phantom{}125\phantom{99}}\\\phantom{25)99}35\\\phantom{25)}\underline{\phantom{99}25\phantom{9}}\\\phantom{25)99}107\\\end{array}$$

Find closest multiple of 25 to 107. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 107 to get reminder 7. Add 4 to quotient.

$$\begin{array}{l}\phantom{25)}01514\phantom{10}\\25\overline{)37857}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)}128\\\phantom{25)}\underline{\phantom{}125\phantom{99}}\\\phantom{25)99}35\\\phantom{25)}\underline{\phantom{99}25\phantom{9}}\\\phantom{25)99}107\\\phantom{25)}\underline{\phantom{99}100\phantom{}}\\\phantom{25)9999}7\\\end{array}$$

Since 7 is less than 25, stop the division. The reminder is 7. The topmost line 01514 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1514.

$$\text{Quotient: }1514 \text{Reminder: }7$$

Factor

$$\frac{3 \cdot 12619}{5 ^ {2}} = 1514\frac{7}{25} = 1514.28$$