Solve 6359div17

$$6359 \div 17$$

Evaluate

$$\frac{6359}{17}\approx 374.058823529$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6359

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)6359}\\\end{array}$$

Since 6 is less than 17, use the next digit 3 from dividend 6359 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)6359}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 6359

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)6359}\\\end{array}$$

Find closest multiple of 17 to 63. We see that 3 \times 17 = 51 is the nearest. Now subtract 51 from 63 to get reminder 12. Add 3 to quotient.

$$\begin{array}{l}\phantom{17)}03\phantom{4}\\17\overline{)6359}\\\phantom{17)}\underline{\phantom{}51\phantom{99}}\\\phantom{17)}12\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 6359

$$\begin{array}{l}\phantom{17)}03\phantom{5}\\17\overline{)6359}\\\phantom{17)}\underline{\phantom{}51\phantom{99}}\\\phantom{17)}125\\\end{array}$$

Find closest multiple of 17 to 125. We see that 7 \times 17 = 119 is the nearest. Now subtract 119 from 125 to get reminder 6. Add 7 to quotient.

$$\begin{array}{l}\phantom{17)}037\phantom{6}\\17\overline{)6359}\\\phantom{17)}\underline{\phantom{}51\phantom{99}}\\\phantom{17)}125\\\phantom{17)}\underline{\phantom{}119\phantom{9}}\\\phantom{17)99}6\\\end{array}$$

Use the 4^{th} digit 9 from dividend 6359

$$\begin{array}{l}\phantom{17)}037\phantom{7}\\17\overline{)6359}\\\phantom{17)}\underline{\phantom{}51\phantom{99}}\\\phantom{17)}125\\\phantom{17)}\underline{\phantom{}119\phantom{9}}\\\phantom{17)99}69\\\end{array}$$

Find closest multiple of 17 to 69. We see that 4 \times 17 = 68 is the nearest. Now subtract 68 from 69 to get reminder 1. Add 4 to quotient.

$$\begin{array}{l}\phantom{17)}0374\phantom{8}\\17\overline{)6359}\\\phantom{17)}\underline{\phantom{}51\phantom{99}}\\\phantom{17)}125\\\phantom{17)}\underline{\phantom{}119\phantom{9}}\\\phantom{17)99}69\\\phantom{17)}\underline{\phantom{99}68\phantom{}}\\\phantom{17)999}1\\\end{array}$$

Since 1 is less than 17, stop the division. The reminder is 1. The topmost line 0374 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 374.

$$\text{Quotient: }374 \text{Reminder: }1$$

Factor

$$\frac{6359}{17} = 374\frac{1}{17} = 374.05882352941177$$