Solve 311,168div832

$$311,168 \div 832$$

Evaluate

$$374$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 311168

$$\begin{array}{l}\phantom{832)}\phantom{1}\\832\overline{)311168}\\\end{array}$$

Since 3 is less than 832, use the next digit 1 from dividend 311168 and add 0 to the quotient

$$\begin{array}{l}\phantom{832)}0\phantom{2}\\832\overline{)311168}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 311168

$$\begin{array}{l}\phantom{832)}0\phantom{3}\\832\overline{)311168}\\\end{array}$$

Since 31 is less than 832, use the next digit 1 from dividend 311168 and add 0 to the quotient

$$\begin{array}{l}\phantom{832)}00\phantom{4}\\832\overline{)311168}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 311168

$$\begin{array}{l}\phantom{832)}00\phantom{5}\\832\overline{)311168}\\\end{array}$$

Since 311 is less than 832, use the next digit 1 from dividend 311168 and add 0 to the quotient

$$\begin{array}{l}\phantom{832)}000\phantom{6}\\832\overline{)311168}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 311168

$$\begin{array}{l}\phantom{832)}000\phantom{7}\\832\overline{)311168}\\\end{array}$$

Find closest multiple of 832 to 3111. We see that 3 \times 832 = 2496 is the nearest. Now subtract 2496 from 3111 to get reminder 615. Add 3 to quotient.

$$\begin{array}{l}\phantom{832)}0003\phantom{8}\\832\overline{)311168}\\\phantom{832)}\underline{\phantom{}2496\phantom{99}}\\\phantom{832)9}615\\\end{array}$$

Use the 5^{th} digit 6 from dividend 311168

$$\begin{array}{l}\phantom{832)}0003\phantom{9}\\832\overline{)311168}\\\phantom{832)}\underline{\phantom{}2496\phantom{99}}\\\phantom{832)9}6156\\\end{array}$$

Find closest multiple of 832 to 6156. We see that 7 \times 832 = 5824 is the nearest. Now subtract 5824 from 6156 to get reminder 332. Add 7 to quotient.

$$\begin{array}{l}\phantom{832)}00037\phantom{10}\\832\overline{)311168}\\\phantom{832)}\underline{\phantom{}2496\phantom{99}}\\\phantom{832)9}6156\\\phantom{832)}\underline{\phantom{9}5824\phantom{9}}\\\phantom{832)99}332\\\end{array}$$

Use the 6^{th} digit 8 from dividend 311168

$$\begin{array}{l}\phantom{832)}00037\phantom{11}\\832\overline{)311168}\\\phantom{832)}\underline{\phantom{}2496\phantom{99}}\\\phantom{832)9}6156\\\phantom{832)}\underline{\phantom{9}5824\phantom{9}}\\\phantom{832)99}3328\\\end{array}$$

Find closest multiple of 832 to 3328. We see that 4 \times 832 = 3328 is the nearest. Now subtract 3328 from 3328 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{832)}000374\phantom{12}\\832\overline{)311168}\\\phantom{832)}\underline{\phantom{}2496\phantom{99}}\\\phantom{832)9}6156\\\phantom{832)}\underline{\phantom{9}5824\phantom{9}}\\\phantom{832)99}3328\\\phantom{832)}\underline{\phantom{99}3328\phantom{}}\\\phantom{832)999999}0\\\end{array}$$

Since 0 is less than 832, stop the division. The reminder is 0. The topmost line 000374 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 374.

$$\text{Quotient: }374 \text{Reminder: }0$$

Factor

$$2\times 11\times 17$$