Solve 3792div17

$$3792 \div 17$$

Evaluate

$$\frac{3792}{17}\approx 223.058823529$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3792

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)3792}\\\end{array}$$

Since 3 is less than 17, use the next digit 7 from dividend 3792 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)3792}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 3792

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)3792}\\\end{array}$$

Find closest multiple of 17 to 37. We see that 2 \times 17 = 34 is the nearest. Now subtract 34 from 37 to get reminder 3. Add 2 to quotient.

$$\begin{array}{l}\phantom{17)}02\phantom{4}\\17\overline{)3792}\\\phantom{17)}\underline{\phantom{}34\phantom{99}}\\\phantom{17)9}3\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 3792

$$\begin{array}{l}\phantom{17)}02\phantom{5}\\17\overline{)3792}\\\phantom{17)}\underline{\phantom{}34\phantom{99}}\\\phantom{17)9}39\\\end{array}$$

Find closest multiple of 17 to 39. We see that 2 \times 17 = 34 is the nearest. Now subtract 34 from 39 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{17)}022\phantom{6}\\17\overline{)3792}\\\phantom{17)}\underline{\phantom{}34\phantom{99}}\\\phantom{17)9}39\\\phantom{17)}\underline{\phantom{9}34\phantom{9}}\\\phantom{17)99}5\\\end{array}$$

Use the 4^{th} digit 2 from dividend 3792

$$\begin{array}{l}\phantom{17)}022\phantom{7}\\17\overline{)3792}\\\phantom{17)}\underline{\phantom{}34\phantom{99}}\\\phantom{17)9}39\\\phantom{17)}\underline{\phantom{9}34\phantom{9}}\\\phantom{17)99}52\\\end{array}$$

Find closest multiple of 17 to 52. We see that 3 \times 17 = 51 is the nearest. Now subtract 51 from 52 to get reminder 1. Add 3 to quotient.

$$\begin{array}{l}\phantom{17)}0223\phantom{8}\\17\overline{)3792}\\\phantom{17)}\underline{\phantom{}34\phantom{99}}\\\phantom{17)9}39\\\phantom{17)}\underline{\phantom{9}34\phantom{9}}\\\phantom{17)99}52\\\phantom{17)}\underline{\phantom{99}51\phantom{}}\\\phantom{17)999}1\\\end{array}$$

Since 1 is less than 17, stop the division. The reminder is 1. The topmost line 0223 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 223.

$$\text{Quotient: }223 \text{Reminder: }1$$

Factor

$$\frac{2 ^ {4} \cdot 3 \cdot 79}{17} = 223\frac{1}{17} = 223.05882352941177$$