Solve 3617/10

$$\frac { 3617 } { 10 }$$

Evaluate

$$\frac{3617}{10}=361.7$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3617

$$\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)3617}\\\end{array}$$

Since 3 is less than 10, use the next digit 6 from dividend 3617 and add 0 to the quotient

$$\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)3617}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 3617

$$\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)3617}\\\end{array}$$

Find closest multiple of 10 to 36. We see that 3 \times 10 = 30 is the nearest. Now subtract 30 from 36 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{10)}03\phantom{4}\\10\overline{)3617}\\\phantom{10)}\underline{\phantom{}30\phantom{99}}\\\phantom{10)9}6\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 3617

$$\begin{array}{l}\phantom{10)}03\phantom{5}\\10\overline{)3617}\\\phantom{10)}\underline{\phantom{}30\phantom{99}}\\\phantom{10)9}61\\\end{array}$$

Find closest multiple of 10 to 61. We see that 6 \times 10 = 60 is the nearest. Now subtract 60 from 61 to get reminder 1. Add 6 to quotient.

$$\begin{array}{l}\phantom{10)}036\phantom{6}\\10\overline{)3617}\\\phantom{10)}\underline{\phantom{}30\phantom{99}}\\\phantom{10)9}61\\\phantom{10)}\underline{\phantom{9}60\phantom{9}}\\\phantom{10)99}1\\\end{array}$$

Use the 4^{th} digit 7 from dividend 3617

$$\begin{array}{l}\phantom{10)}036\phantom{7}\\10\overline{)3617}\\\phantom{10)}\underline{\phantom{}30\phantom{99}}\\\phantom{10)9}61\\\phantom{10)}\underline{\phantom{9}60\phantom{9}}\\\phantom{10)99}17\\\end{array}$$

Find closest multiple of 10 to 17. We see that 1 \times 10 = 10 is the nearest. Now subtract 10 from 17 to get reminder 7. Add 1 to quotient.

$$\begin{array}{l}\phantom{10)}0361\phantom{8}\\10\overline{)3617}\\\phantom{10)}\underline{\phantom{}30\phantom{99}}\\\phantom{10)9}61\\\phantom{10)}\underline{\phantom{9}60\phantom{9}}\\\phantom{10)99}17\\\phantom{10)}\underline{\phantom{99}10\phantom{}}\\\phantom{10)999}7\\\end{array}$$

Since 7 is less than 10, stop the division. The reminder is 7. The topmost line 0361 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 361.

$$\text{Quotient: }361 \text{Reminder: }7$$

Factor

$$\frac{3617}{2 \cdot 5} = 361\frac{7}{10} = 361.7$$