Solve 8489div29

$$8489 \div 29$$

Evaluate

$$\frac{8489}{29}\approx 292.724137931$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8489

$$\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)8489}\\\end{array}$$

Since 8 is less than 29, use the next digit 4 from dividend 8489 and add 0 to the quotient

$$\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)8489}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 8489

$$\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)8489}\\\end{array}$$

Find closest multiple of 29 to 84. We see that 2 \times 29 = 58 is the nearest. Now subtract 58 from 84 to get reminder 26. Add 2 to quotient.

$$\begin{array}{l}\phantom{29)}02\phantom{4}\\29\overline{)8489}\\\phantom{29)}\underline{\phantom{}58\phantom{99}}\\\phantom{29)}26\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 8489

$$\begin{array}{l}\phantom{29)}02\phantom{5}\\29\overline{)8489}\\\phantom{29)}\underline{\phantom{}58\phantom{99}}\\\phantom{29)}268\\\end{array}$$

Find closest multiple of 29 to 268. We see that 9 \times 29 = 261 is the nearest. Now subtract 261 from 268 to get reminder 7. Add 9 to quotient.

$$\begin{array}{l}\phantom{29)}029\phantom{6}\\29\overline{)8489}\\\phantom{29)}\underline{\phantom{}58\phantom{99}}\\\phantom{29)}268\\\phantom{29)}\underline{\phantom{}261\phantom{9}}\\\phantom{29)99}7\\\end{array}$$

Use the 4^{th} digit 9 from dividend 8489

$$\begin{array}{l}\phantom{29)}029\phantom{7}\\29\overline{)8489}\\\phantom{29)}\underline{\phantom{}58\phantom{99}}\\\phantom{29)}268\\\phantom{29)}\underline{\phantom{}261\phantom{9}}\\\phantom{29)99}79\\\end{array}$$

Find closest multiple of 29 to 79. We see that 2 \times 29 = 58 is the nearest. Now subtract 58 from 79 to get reminder 21. Add 2 to quotient.

$$\begin{array}{l}\phantom{29)}0292\phantom{8}\\29\overline{)8489}\\\phantom{29)}\underline{\phantom{}58\phantom{99}}\\\phantom{29)}268\\\phantom{29)}\underline{\phantom{}261\phantom{9}}\\\phantom{29)99}79\\\phantom{29)}\underline{\phantom{99}58\phantom{}}\\\phantom{29)99}21\\\end{array}$$

Since 21 is less than 29, stop the division. The reminder is 21. The topmost line 0292 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 292.

$$\text{Quotient: }292 \text{Reminder: }21$$

Factor

$$\frac{13 \cdot 653}{29} = 292\frac{21}{29} = 292.7241379310345$$