Solve 13400div87

$$13400 \div 87$$

Evaluate

$$\frac{13400}{87}\approx 154.022988506$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13400

$$\begin{array}{l}\phantom{87)}\phantom{1}\\87\overline{)13400}\\\end{array}$$

Since 1 is less than 87, use the next digit 3 from dividend 13400 and add 0 to the quotient

$$\begin{array}{l}\phantom{87)}0\phantom{2}\\87\overline{)13400}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13400

$$\begin{array}{l}\phantom{87)}0\phantom{3}\\87\overline{)13400}\\\end{array}$$

Since 13 is less than 87, use the next digit 4 from dividend 13400 and add 0 to the quotient

$$\begin{array}{l}\phantom{87)}00\phantom{4}\\87\overline{)13400}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 13400

$$\begin{array}{l}\phantom{87)}00\phantom{5}\\87\overline{)13400}\\\end{array}$$

Find closest multiple of 87 to 134. We see that 1 \times 87 = 87 is the nearest. Now subtract 87 from 134 to get reminder 47. Add 1 to quotient.

$$\begin{array}{l}\phantom{87)}001\phantom{6}\\87\overline{)13400}\\\phantom{87)}\underline{\phantom{9}87\phantom{99}}\\\phantom{87)9}47\\\end{array}$$

Use the 4^{th} digit 0 from dividend 13400

$$\begin{array}{l}\phantom{87)}001\phantom{7}\\87\overline{)13400}\\\phantom{87)}\underline{\phantom{9}87\phantom{99}}\\\phantom{87)9}470\\\end{array}$$

Find closest multiple of 87 to 470. We see that 5 \times 87 = 435 is the nearest. Now subtract 435 from 470 to get reminder 35. Add 5 to quotient.

$$\begin{array}{l}\phantom{87)}0015\phantom{8}\\87\overline{)13400}\\\phantom{87)}\underline{\phantom{9}87\phantom{99}}\\\phantom{87)9}470\\\phantom{87)}\underline{\phantom{9}435\phantom{9}}\\\phantom{87)99}35\\\end{array}$$

Use the 5^{th} digit 0 from dividend 13400

$$\begin{array}{l}\phantom{87)}0015\phantom{9}\\87\overline{)13400}\\\phantom{87)}\underline{\phantom{9}87\phantom{99}}\\\phantom{87)9}470\\\phantom{87)}\underline{\phantom{9}435\phantom{9}}\\\phantom{87)99}350\\\end{array}$$

Find closest multiple of 87 to 350. We see that 4 \times 87 = 348 is the nearest. Now subtract 348 from 350 to get reminder 2. Add 4 to quotient.

$$\begin{array}{l}\phantom{87)}00154\phantom{10}\\87\overline{)13400}\\\phantom{87)}\underline{\phantom{9}87\phantom{99}}\\\phantom{87)9}470\\\phantom{87)}\underline{\phantom{9}435\phantom{9}}\\\phantom{87)99}350\\\phantom{87)}\underline{\phantom{99}348\phantom{}}\\\phantom{87)9999}2\\\end{array}$$

Since 2 is less than 87, stop the division. The reminder is 2. The topmost line 00154 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 154.

$$\text{Quotient: }154 \text{Reminder: }2$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 67}{3 \cdot 29} = 154\frac{2}{87} = 154.02298850574712$$