Solve 2141425:325=

$$2141425 : 325 =$$

Evaluate

$$6589$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2141425

$$\begin{array}{l}\phantom{325)}\phantom{1}\\325\overline{)2141425}\\\end{array}$$

Since 2 is less than 325, use the next digit 1 from dividend 2141425 and add 0 to the quotient

$$\begin{array}{l}\phantom{325)}0\phantom{2}\\325\overline{)2141425}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 2141425

$$\begin{array}{l}\phantom{325)}0\phantom{3}\\325\overline{)2141425}\\\end{array}$$

Since 21 is less than 325, use the next digit 4 from dividend 2141425 and add 0 to the quotient

$$\begin{array}{l}\phantom{325)}00\phantom{4}\\325\overline{)2141425}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 2141425

$$\begin{array}{l}\phantom{325)}00\phantom{5}\\325\overline{)2141425}\\\end{array}$$

Since 214 is less than 325, use the next digit 1 from dividend 2141425 and add 0 to the quotient

$$\begin{array}{l}\phantom{325)}000\phantom{6}\\325\overline{)2141425}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 2141425

$$\begin{array}{l}\phantom{325)}000\phantom{7}\\325\overline{)2141425}\\\end{array}$$

Find closest multiple of 325 to 2141. We see that 6 \times 325 = 1950 is the nearest. Now subtract 1950 from 2141 to get reminder 191. Add 6 to quotient.

$$\begin{array}{l}\phantom{325)}0006\phantom{8}\\325\overline{)2141425}\\\phantom{325)}\underline{\phantom{}1950\phantom{999}}\\\phantom{325)9}191\\\end{array}$$

Use the 5^{th} digit 4 from dividend 2141425

$$\begin{array}{l}\phantom{325)}0006\phantom{9}\\325\overline{)2141425}\\\phantom{325)}\underline{\phantom{}1950\phantom{999}}\\\phantom{325)9}1914\\\end{array}$$

Find closest multiple of 325 to 1914. We see that 5 \times 325 = 1625 is the nearest. Now subtract 1625 from 1914 to get reminder 289. Add 5 to quotient.

$$\begin{array}{l}\phantom{325)}00065\phantom{10}\\325\overline{)2141425}\\\phantom{325)}\underline{\phantom{}1950\phantom{999}}\\\phantom{325)9}1914\\\phantom{325)}\underline{\phantom{9}1625\phantom{99}}\\\phantom{325)99}289\\\end{array}$$

Use the 6^{th} digit 2 from dividend 2141425

$$\begin{array}{l}\phantom{325)}00065\phantom{11}\\325\overline{)2141425}\\\phantom{325)}\underline{\phantom{}1950\phantom{999}}\\\phantom{325)9}1914\\\phantom{325)}\underline{\phantom{9}1625\phantom{99}}\\\phantom{325)99}2892\\\end{array}$$

Find closest multiple of 325 to 2892. We see that 8 \times 325 = 2600 is the nearest. Now subtract 2600 from 2892 to get reminder 292. Add 8 to quotient.

$$\begin{array}{l}\phantom{325)}000658\phantom{12}\\325\overline{)2141425}\\\phantom{325)}\underline{\phantom{}1950\phantom{999}}\\\phantom{325)9}1914\\\phantom{325)}\underline{\phantom{9}1625\phantom{99}}\\\phantom{325)99}2892\\\phantom{325)}\underline{\phantom{99}2600\phantom{9}}\\\phantom{325)999}292\\\end{array}$$

Use the 7^{th} digit 5 from dividend 2141425

$$\begin{array}{l}\phantom{325)}000658\phantom{13}\\325\overline{)2141425}\\\phantom{325)}\underline{\phantom{}1950\phantom{999}}\\\phantom{325)9}1914\\\phantom{325)}\underline{\phantom{9}1625\phantom{99}}\\\phantom{325)99}2892\\\phantom{325)}\underline{\phantom{99}2600\phantom{9}}\\\phantom{325)999}2925\\\end{array}$$

Find closest multiple of 325 to 2925. We see that 9 \times 325 = 2925 is the nearest. Now subtract 2925 from 2925 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{325)}0006589\phantom{14}\\325\overline{)2141425}\\\phantom{325)}\underline{\phantom{}1950\phantom{999}}\\\phantom{325)9}1914\\\phantom{325)}\underline{\phantom{9}1625\phantom{99}}\\\phantom{325)99}2892\\\phantom{325)}\underline{\phantom{99}2600\phantom{9}}\\\phantom{325)999}2925\\\phantom{325)}\underline{\phantom{999}2925\phantom{}}\\\phantom{325)9999999}0\\\end{array}$$

Since 0 is less than 325, stop the division. The reminder is 0. The topmost line 0006589 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6589.

$$\text{Quotient: }6589 \text{Reminder: }0$$

Factor

$$11\times 599$$