Solve 15925div49

$$15925 \div 49$$

Evaluate

$$325$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 15925

$$\begin{array}{l}\phantom{49)}\phantom{1}\\49\overline{)15925}\\\end{array}$$

Since 1 is less than 49, use the next digit 5 from dividend 15925 and add 0 to the quotient

$$\begin{array}{l}\phantom{49)}0\phantom{2}\\49\overline{)15925}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 15925

$$\begin{array}{l}\phantom{49)}0\phantom{3}\\49\overline{)15925}\\\end{array}$$

Since 15 is less than 49, use the next digit 9 from dividend 15925 and add 0 to the quotient

$$\begin{array}{l}\phantom{49)}00\phantom{4}\\49\overline{)15925}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 15925

$$\begin{array}{l}\phantom{49)}00\phantom{5}\\49\overline{)15925}\\\end{array}$$

Find closest multiple of 49 to 159. We see that 3 \times 49 = 147 is the nearest. Now subtract 147 from 159 to get reminder 12. Add 3 to quotient.

$$\begin{array}{l}\phantom{49)}003\phantom{6}\\49\overline{)15925}\\\phantom{49)}\underline{\phantom{}147\phantom{99}}\\\phantom{49)9}12\\\end{array}$$

Use the 4^{th} digit 2 from dividend 15925

$$\begin{array}{l}\phantom{49)}003\phantom{7}\\49\overline{)15925}\\\phantom{49)}\underline{\phantom{}147\phantom{99}}\\\phantom{49)9}122\\\end{array}$$

Find closest multiple of 49 to 122. We see that 2 \times 49 = 98 is the nearest. Now subtract 98 from 122 to get reminder 24. Add 2 to quotient.

$$\begin{array}{l}\phantom{49)}0032\phantom{8}\\49\overline{)15925}\\\phantom{49)}\underline{\phantom{}147\phantom{99}}\\\phantom{49)9}122\\\phantom{49)}\underline{\phantom{99}98\phantom{9}}\\\phantom{49)99}24\\\end{array}$$

Use the 5^{th} digit 5 from dividend 15925

$$\begin{array}{l}\phantom{49)}0032\phantom{9}\\49\overline{)15925}\\\phantom{49)}\underline{\phantom{}147\phantom{99}}\\\phantom{49)9}122\\\phantom{49)}\underline{\phantom{99}98\phantom{9}}\\\phantom{49)99}245\\\end{array}$$

Find closest multiple of 49 to 245. We see that 5 \times 49 = 245 is the nearest. Now subtract 245 from 245 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{49)}00325\phantom{10}\\49\overline{)15925}\\\phantom{49)}\underline{\phantom{}147\phantom{99}}\\\phantom{49)9}122\\\phantom{49)}\underline{\phantom{99}98\phantom{9}}\\\phantom{49)99}245\\\phantom{49)}\underline{\phantom{99}245\phantom{}}\\\phantom{49)99999}0\\\end{array}$$

Since 0 is less than 49, stop the division. The reminder is 0. The topmost line 00325 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 325.

$$\text{Quotient: }325 \text{Reminder: }0$$

Factor

$$5^{2}\times 13$$