Solve 1625:25=

$$1625 : 25 =$$

Evaluate

$$65$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1625

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)1625}\\\end{array}$$

Since 1 is less than 25, use the next digit 6 from dividend 1625 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)1625}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1625

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)1625}\\\end{array}$$

Since 16 is less than 25, use the next digit 2 from dividend 1625 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)1625}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1625

$$\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)1625}\\\end{array}$$

Find closest multiple of 25 to 162. We see that 6 \times 25 = 150 is the nearest. Now subtract 150 from 162 to get reminder 12. Add 6 to quotient.

$$\begin{array}{l}\phantom{25)}006\phantom{6}\\25\overline{)1625}\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}12\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1625

$$\begin{array}{l}\phantom{25)}006\phantom{7}\\25\overline{)1625}\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}125\\\end{array}$$

Find closest multiple of 25 to 125. We see that 5 \times 25 = 125 is the nearest. Now subtract 125 from 125 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{25)}0065\phantom{8}\\25\overline{)1625}\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}125\\\phantom{25)}\underline{\phantom{9}125\phantom{}}\\\phantom{25)9999}0\\\end{array}$$

Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 0065 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 65.

$$\text{Quotient: }65 \text{Reminder: }0$$

Factor

$$5\times 13$$