Solve 15806div884

$$15806 \div 884$$

Evaluate

$$\frac{7903}{442}\approx 17.880090498$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 15806

$$\begin{array}{l}\phantom{884)}\phantom{1}\\884\overline{)15806}\\\end{array}$$

Since 1 is less than 884, use the next digit 5 from dividend 15806 and add 0 to the quotient

$$\begin{array}{l}\phantom{884)}0\phantom{2}\\884\overline{)15806}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 15806

$$\begin{array}{l}\phantom{884)}0\phantom{3}\\884\overline{)15806}\\\end{array}$$

Since 15 is less than 884, use the next digit 8 from dividend 15806 and add 0 to the quotient

$$\begin{array}{l}\phantom{884)}00\phantom{4}\\884\overline{)15806}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 15806

$$\begin{array}{l}\phantom{884)}00\phantom{5}\\884\overline{)15806}\\\end{array}$$

Since 158 is less than 884, use the next digit 0 from dividend 15806 and add 0 to the quotient

$$\begin{array}{l}\phantom{884)}000\phantom{6}\\884\overline{)15806}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 15806

$$\begin{array}{l}\phantom{884)}000\phantom{7}\\884\overline{)15806}\\\end{array}$$

Find closest multiple of 884 to 1580. We see that 1 \times 884 = 884 is the nearest. Now subtract 884 from 1580 to get reminder 696. Add 1 to quotient.

$$\begin{array}{l}\phantom{884)}0001\phantom{8}\\884\overline{)15806}\\\phantom{884)}\underline{\phantom{9}884\phantom{9}}\\\phantom{884)9}696\\\end{array}$$

Use the 5^{th} digit 6 from dividend 15806

$$\begin{array}{l}\phantom{884)}0001\phantom{9}\\884\overline{)15806}\\\phantom{884)}\underline{\phantom{9}884\phantom{9}}\\\phantom{884)9}6966\\\end{array}$$

Find closest multiple of 884 to 6966. We see that 7 \times 884 = 6188 is the nearest. Now subtract 6188 from 6966 to get reminder 778. Add 7 to quotient.

$$\begin{array}{l}\phantom{884)}00017\phantom{10}\\884\overline{)15806}\\\phantom{884)}\underline{\phantom{9}884\phantom{9}}\\\phantom{884)9}6966\\\phantom{884)}\underline{\phantom{9}6188\phantom{}}\\\phantom{884)99}778\\\end{array}$$

Since 778 is less than 884, stop the division. The reminder is 778. The topmost line 00017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }778$$

Factor

$$\frac{7 \cdot 1129}{2 \cdot 13 \cdot 17} = 17\frac{389}{442} = 17.880090497737555$$