Solve 8505div35

$$8505 \div 35$$

Evaluate

$$243$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8505

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)8505}\\\end{array}$$

Since 8 is less than 35, use the next digit 5 from dividend 8505 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)8505}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 8505

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)8505}\\\end{array}$$

Find closest multiple of 35 to 85. We see that 2 \times 35 = 70 is the nearest. Now subtract 70 from 85 to get reminder 15. Add 2 to quotient.

$$\begin{array}{l}\phantom{35)}02\phantom{4}\\35\overline{)8505}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}15\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 8505

$$\begin{array}{l}\phantom{35)}02\phantom{5}\\35\overline{)8505}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}150\\\end{array}$$

Find closest multiple of 35 to 150. We see that 4 \times 35 = 140 is the nearest. Now subtract 140 from 150 to get reminder 10. Add 4 to quotient.

$$\begin{array}{l}\phantom{35)}024\phantom{6}\\35\overline{)8505}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}150\\\phantom{35)}\underline{\phantom{}140\phantom{9}}\\\phantom{35)9}10\\\end{array}$$

Use the 4^{th} digit 5 from dividend 8505

$$\begin{array}{l}\phantom{35)}024\phantom{7}\\35\overline{)8505}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}150\\\phantom{35)}\underline{\phantom{}140\phantom{9}}\\\phantom{35)9}105\\\end{array}$$

Find closest multiple of 35 to 105. We see that 3 \times 35 = 105 is the nearest. Now subtract 105 from 105 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{35)}0243\phantom{8}\\35\overline{)8505}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}150\\\phantom{35)}\underline{\phantom{}140\phantom{9}}\\\phantom{35)9}105\\\phantom{35)}\underline{\phantom{9}105\phantom{}}\\\phantom{35)9999}0\\\end{array}$$

Since 0 is less than 35, stop the division. The reminder is 0. The topmost line 0243 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 243.

$$\text{Quotient: }243 \text{Reminder: }0$$

Factor

$$3^{5}$$