Solve 1305div29

$$1305 \div 29$$

Evaluate

$$45$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1305

$$\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)1305}\\\end{array}$$

Since 1 is less than 29, use the next digit 3 from dividend 1305 and add 0 to the quotient

$$\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)1305}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 1305

$$\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)1305}\\\end{array}$$

Since 13 is less than 29, use the next digit 0 from dividend 1305 and add 0 to the quotient

$$\begin{array}{l}\phantom{29)}00\phantom{4}\\29\overline{)1305}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1305

$$\begin{array}{l}\phantom{29)}00\phantom{5}\\29\overline{)1305}\\\end{array}$$

Find closest multiple of 29 to 130. We see that 4 \times 29 = 116 is the nearest. Now subtract 116 from 130 to get reminder 14. Add 4 to quotient.

$$\begin{array}{l}\phantom{29)}004\phantom{6}\\29\overline{)1305}\\\phantom{29)}\underline{\phantom{}116\phantom{9}}\\\phantom{29)9}14\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1305

$$\begin{array}{l}\phantom{29)}004\phantom{7}\\29\overline{)1305}\\\phantom{29)}\underline{\phantom{}116\phantom{9}}\\\phantom{29)9}145\\\end{array}$$

Find closest multiple of 29 to 145. We see that 5 \times 29 = 145 is the nearest. Now subtract 145 from 145 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{29)}0045\phantom{8}\\29\overline{)1305}\\\phantom{29)}\underline{\phantom{}116\phantom{9}}\\\phantom{29)9}145\\\phantom{29)}\underline{\phantom{9}145\phantom{}}\\\phantom{29)9999}0\\\end{array}$$

Since 0 is less than 29, stop the division. The reminder is 0. The topmost line 0045 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 45.

$$\text{Quotient: }45 \text{Reminder: }0$$

Factor

$$3^{2}\times 5$$