Solve 858div25

$$858 \div 25$$

Evaluate

$$\frac{858}{25}=34.32$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 858

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)858}\\\end{array}$$

Since 8 is less than 25, use the next digit 5 from dividend 858 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)858}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 858

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)858}\\\end{array}$$

Find closest multiple of 25 to 85. We see that 3 \times 25 = 75 is the nearest. Now subtract 75 from 85 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{25)}03\phantom{4}\\25\overline{)858}\\\phantom{25)}\underline{\phantom{}75\phantom{9}}\\\phantom{25)}10\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 858

$$\begin{array}{l}\phantom{25)}03\phantom{5}\\25\overline{)858}\\\phantom{25)}\underline{\phantom{}75\phantom{9}}\\\phantom{25)}108\\\end{array}$$

Find closest multiple of 25 to 108. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 108 to get reminder 8. Add 4 to quotient.

$$\begin{array}{l}\phantom{25)}034\phantom{6}\\25\overline{)858}\\\phantom{25)}\underline{\phantom{}75\phantom{9}}\\\phantom{25)}108\\\phantom{25)}\underline{\phantom{}100\phantom{}}\\\phantom{25)99}8\\\end{array}$$

Since 8 is less than 25, stop the division. The reminder is 8. The topmost line 034 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 34.

$$\text{Quotient: }34 \text{Reminder: }8$$

Factor

$$\frac{2 \cdot 3 \cdot 11 \cdot 13}{5 ^ {2}} = 34\frac{8}{25} = 34.32$$