Solve 13371:17=

$$13371 : 17 =$$

Evaluate

$$\frac{13371}{17}\approx 786.529411765$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13371

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)13371}\\\end{array}$$

Since 1 is less than 17, use the next digit 3 from dividend 13371 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)13371}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13371

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)13371}\\\end{array}$$

Since 13 is less than 17, use the next digit 3 from dividend 13371 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}00\phantom{4}\\17\overline{)13371}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 13371

$$\begin{array}{l}\phantom{17)}00\phantom{5}\\17\overline{)13371}\\\end{array}$$

Find closest multiple of 17 to 133. We see that 7 \times 17 = 119 is the nearest. Now subtract 119 from 133 to get reminder 14. Add 7 to quotient.

$$\begin{array}{l}\phantom{17)}007\phantom{6}\\17\overline{)13371}\\\phantom{17)}\underline{\phantom{}119\phantom{99}}\\\phantom{17)9}14\\\end{array}$$

Use the 4^{th} digit 7 from dividend 13371

$$\begin{array}{l}\phantom{17)}007\phantom{7}\\17\overline{)13371}\\\phantom{17)}\underline{\phantom{}119\phantom{99}}\\\phantom{17)9}147\\\end{array}$$

Find closest multiple of 17 to 147. We see that 8 \times 17 = 136 is the nearest. Now subtract 136 from 147 to get reminder 11. Add 8 to quotient.

$$\begin{array}{l}\phantom{17)}0078\phantom{8}\\17\overline{)13371}\\\phantom{17)}\underline{\phantom{}119\phantom{99}}\\\phantom{17)9}147\\\phantom{17)}\underline{\phantom{9}136\phantom{9}}\\\phantom{17)99}11\\\end{array}$$

Use the 5^{th} digit 1 from dividend 13371

$$\begin{array}{l}\phantom{17)}0078\phantom{9}\\17\overline{)13371}\\\phantom{17)}\underline{\phantom{}119\phantom{99}}\\\phantom{17)9}147\\\phantom{17)}\underline{\phantom{9}136\phantom{9}}\\\phantom{17)99}111\\\end{array}$$

Find closest multiple of 17 to 111. We see that 6 \times 17 = 102 is the nearest. Now subtract 102 from 111 to get reminder 9. Add 6 to quotient.

$$\begin{array}{l}\phantom{17)}00786\phantom{10}\\17\overline{)13371}\\\phantom{17)}\underline{\phantom{}119\phantom{99}}\\\phantom{17)9}147\\\phantom{17)}\underline{\phantom{9}136\phantom{9}}\\\phantom{17)99}111\\\phantom{17)}\underline{\phantom{99}102\phantom{}}\\\phantom{17)9999}9\\\end{array}$$

Since 9 is less than 17, stop the division. The reminder is 9. The topmost line 00786 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 786.

$$\text{Quotient: }786 \text{Reminder: }9$$

Factor

$$\frac{3 \cdot 4457}{17} = 786\frac{9}{17} = 786.5294117647059$$