Solve 66125div23

$$66125 \div 23$$

Evaluate

$$2875$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 66125

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)66125}\\\end{array}$$

Since 6 is less than 23, use the next digit 6 from dividend 66125 and add 0 to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)66125}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 66125

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)66125}\\\end{array}$$

Find closest multiple of 23 to 66. We see that 2 \times 23 = 46 is the nearest. Now subtract 46 from 66 to get reminder 20. Add 2 to quotient.

$$\begin{array}{l}\phantom{23)}02\phantom{4}\\23\overline{)66125}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}20\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 66125

$$\begin{array}{l}\phantom{23)}02\phantom{5}\\23\overline{)66125}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}201\\\end{array}$$

Find closest multiple of 23 to 201. We see that 8 \times 23 = 184 is the nearest. Now subtract 184 from 201 to get reminder 17. Add 8 to quotient.

$$\begin{array}{l}\phantom{23)}028\phantom{6}\\23\overline{)66125}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}201\\\phantom{23)}\underline{\phantom{}184\phantom{99}}\\\phantom{23)9}17\\\end{array}$$

Use the 4^{th} digit 2 from dividend 66125

$$\begin{array}{l}\phantom{23)}028\phantom{7}\\23\overline{)66125}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}201\\\phantom{23)}\underline{\phantom{}184\phantom{99}}\\\phantom{23)9}172\\\end{array}$$

Find closest multiple of 23 to 172. We see that 7 \times 23 = 161 is the nearest. Now subtract 161 from 172 to get reminder 11. Add 7 to quotient.

$$\begin{array}{l}\phantom{23)}0287\phantom{8}\\23\overline{)66125}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}201\\\phantom{23)}\underline{\phantom{}184\phantom{99}}\\\phantom{23)9}172\\\phantom{23)}\underline{\phantom{9}161\phantom{9}}\\\phantom{23)99}11\\\end{array}$$

Use the 5^{th} digit 5 from dividend 66125

$$\begin{array}{l}\phantom{23)}0287\phantom{9}\\23\overline{)66125}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}201\\\phantom{23)}\underline{\phantom{}184\phantom{99}}\\\phantom{23)9}172\\\phantom{23)}\underline{\phantom{9}161\phantom{9}}\\\phantom{23)99}115\\\end{array}$$

Find closest multiple of 23 to 115. We see that 5 \times 23 = 115 is the nearest. Now subtract 115 from 115 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{23)}02875\phantom{10}\\23\overline{)66125}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}201\\\phantom{23)}\underline{\phantom{}184\phantom{99}}\\\phantom{23)9}172\\\phantom{23)}\underline{\phantom{9}161\phantom{9}}\\\phantom{23)99}115\\\phantom{23)}\underline{\phantom{99}115\phantom{}}\\\phantom{23)99999}0\\\end{array}$$

Since 0 is less than 23, stop the division. The reminder is 0. The topmost line 02875 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2875.

$$\text{Quotient: }2875 \text{Reminder: }0$$

Factor

$$5^{3}\times 23$$