Solve 15158div164

$$15158 \div 164$$

Evaluate

$$\frac{7579}{82}\approx 92.426829268$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 15158

$$\begin{array}{l}\phantom{164)}\phantom{1}\\164\overline{)15158}\\\end{array}$$

Since 1 is less than 164, use the next digit 5 from dividend 15158 and add 0 to the quotient

$$\begin{array}{l}\phantom{164)}0\phantom{2}\\164\overline{)15158}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 15158

$$\begin{array}{l}\phantom{164)}0\phantom{3}\\164\overline{)15158}\\\end{array}$$

Since 15 is less than 164, use the next digit 1 from dividend 15158 and add 0 to the quotient

$$\begin{array}{l}\phantom{164)}00\phantom{4}\\164\overline{)15158}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 15158

$$\begin{array}{l}\phantom{164)}00\phantom{5}\\164\overline{)15158}\\\end{array}$$

Since 151 is less than 164, use the next digit 5 from dividend 15158 and add 0 to the quotient

$$\begin{array}{l}\phantom{164)}000\phantom{6}\\164\overline{)15158}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 15158

$$\begin{array}{l}\phantom{164)}000\phantom{7}\\164\overline{)15158}\\\end{array}$$

Find closest multiple of 164 to 1515. We see that 9 \times 164 = 1476 is the nearest. Now subtract 1476 from 1515 to get reminder 39. Add 9 to quotient.

$$\begin{array}{l}\phantom{164)}0009\phantom{8}\\164\overline{)15158}\\\phantom{164)}\underline{\phantom{}1476\phantom{9}}\\\phantom{164)99}39\\\end{array}$$

Use the 5^{th} digit 8 from dividend 15158

$$\begin{array}{l}\phantom{164)}0009\phantom{9}\\164\overline{)15158}\\\phantom{164)}\underline{\phantom{}1476\phantom{9}}\\\phantom{164)99}398\\\end{array}$$

Find closest multiple of 164 to 398. We see that 2 \times 164 = 328 is the nearest. Now subtract 328 from 398 to get reminder 70. Add 2 to quotient.

$$\begin{array}{l}\phantom{164)}00092\phantom{10}\\164\overline{)15158}\\\phantom{164)}\underline{\phantom{}1476\phantom{9}}\\\phantom{164)99}398\\\phantom{164)}\underline{\phantom{99}328\phantom{}}\\\phantom{164)999}70\\\end{array}$$

Since 70 is less than 164, stop the division. The reminder is 70. The topmost line 00092 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 92.

$$\text{Quotient: }92 \text{Reminder: }70$$

Factor

$$\frac{11 \cdot 13 \cdot 53}{2 \cdot 41} = 92\frac{35}{82} = 92.42682926829268$$