Solve 6817:17

$$6817 : 17$$

Evaluate

$$401$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6817

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)6817}\\\end{array}$$

Since 6 is less than 17, use the next digit 8 from dividend 6817 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)6817}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 6817

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)6817}\\\end{array}$$

Find closest multiple of 17 to 68. We see that 4 \times 17 = 68 is the nearest. Now subtract 68 from 68 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{17)}04\phantom{4}\\17\overline{)6817}\\\phantom{17)}\underline{\phantom{}68\phantom{99}}\\\phantom{17)99}0\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 6817

$$\begin{array}{l}\phantom{17)}04\phantom{5}\\17\overline{)6817}\\\phantom{17)}\underline{\phantom{}68\phantom{99}}\\\phantom{17)99}1\\\end{array}$$

Since 1 is less than 17, use the next digit 7 from dividend 6817 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}040\phantom{6}\\17\overline{)6817}\\\phantom{17)}\underline{\phantom{}68\phantom{99}}\\\phantom{17)99}1\\\end{array}$$

Use the 4^{th} digit 7 from dividend 6817

$$\begin{array}{l}\phantom{17)}040\phantom{7}\\17\overline{)6817}\\\phantom{17)}\underline{\phantom{}68\phantom{99}}\\\phantom{17)99}17\\\end{array}$$

Find closest multiple of 17 to 17. We see that 1 \times 17 = 17 is the nearest. Now subtract 17 from 17 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{17)}0401\phantom{8}\\17\overline{)6817}\\\phantom{17)}\underline{\phantom{}68\phantom{99}}\\\phantom{17)99}17\\\phantom{17)}\underline{\phantom{99}17\phantom{}}\\\phantom{17)9999}0\\\end{array}$$

Since 0 is less than 17, stop the division. The reminder is 0. The topmost line 0401 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 401.

$$\text{Quotient: }401 \text{Reminder: }0$$

Factor

$$401$$