Solve 735:15

$$735 : 15$$

Evaluate

$$49$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 735

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)735}\\\end{array}$$

Since 7 is less than 15, use the next digit 3 from dividend 735 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)735}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 735

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)735}\\\end{array}$$

Find closest multiple of 15 to 73. We see that 4 \times 15 = 60 is the nearest. Now subtract 60 from 73 to get reminder 13. Add 4 to quotient.

$$\begin{array}{l}\phantom{15)}04\phantom{4}\\15\overline{)735}\\\phantom{15)}\underline{\phantom{}60\phantom{9}}\\\phantom{15)}13\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 735

$$\begin{array}{l}\phantom{15)}04\phantom{5}\\15\overline{)735}\\\phantom{15)}\underline{\phantom{}60\phantom{9}}\\\phantom{15)}135\\\end{array}$$

Find closest multiple of 15 to 135. We see that 9 \times 15 = 135 is the nearest. Now subtract 135 from 135 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{15)}049\phantom{6}\\15\overline{)735}\\\phantom{15)}\underline{\phantom{}60\phantom{9}}\\\phantom{15)}135\\\phantom{15)}\underline{\phantom{}135\phantom{}}\\\phantom{15)999}0\\\end{array}$$

Since 0 is less than 15, stop the division. The reminder is 0. The topmost line 049 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 49.

$$\text{Quotient: }49 \text{Reminder: }0$$

Factor

$$7^{2}$$