Solve 6,559/23

$$\frac { 6,559 } { 23 }$$

Evaluate

$$\frac{6559}{23}\approx 285.173913043$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6559

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)6559}\\\end{array}$$

Since 6 is less than 23, use the next digit 5 from dividend 6559 and add 0 to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)6559}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 6559

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)6559}\\\end{array}$$

Find closest multiple of 23 to 65. We see that 2 \times 23 = 46 is the nearest. Now subtract 46 from 65 to get reminder 19. Add 2 to quotient.

$$\begin{array}{l}\phantom{23)}02\phantom{4}\\23\overline{)6559}\\\phantom{23)}\underline{\phantom{}46\phantom{99}}\\\phantom{23)}19\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 6559

$$\begin{array}{l}\phantom{23)}02\phantom{5}\\23\overline{)6559}\\\phantom{23)}\underline{\phantom{}46\phantom{99}}\\\phantom{23)}195\\\end{array}$$

Find closest multiple of 23 to 195. We see that 8 \times 23 = 184 is the nearest. Now subtract 184 from 195 to get reminder 11. Add 8 to quotient.

$$\begin{array}{l}\phantom{23)}028\phantom{6}\\23\overline{)6559}\\\phantom{23)}\underline{\phantom{}46\phantom{99}}\\\phantom{23)}195\\\phantom{23)}\underline{\phantom{}184\phantom{9}}\\\phantom{23)9}11\\\end{array}$$

Use the 4^{th} digit 9 from dividend 6559

$$\begin{array}{l}\phantom{23)}028\phantom{7}\\23\overline{)6559}\\\phantom{23)}\underline{\phantom{}46\phantom{99}}\\\phantom{23)}195\\\phantom{23)}\underline{\phantom{}184\phantom{9}}\\\phantom{23)9}119\\\end{array}$$

Find closest multiple of 23 to 119. We see that 5 \times 23 = 115 is the nearest. Now subtract 115 from 119 to get reminder 4. Add 5 to quotient.

$$\begin{array}{l}\phantom{23)}0285\phantom{8}\\23\overline{)6559}\\\phantom{23)}\underline{\phantom{}46\phantom{99}}\\\phantom{23)}195\\\phantom{23)}\underline{\phantom{}184\phantom{9}}\\\phantom{23)9}119\\\phantom{23)}\underline{\phantom{9}115\phantom{}}\\\phantom{23)999}4\\\end{array}$$

Since 4 is less than 23, stop the division. The reminder is 4. The topmost line 0285 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 285.

$$\text{Quotient: }285 \text{Reminder: }4$$

Factor

$$\frac{7 \cdot 937}{23} = 285\frac{4}{23} = 285.17391304347825$$