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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 296 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.14214 ÷ 89 =
  2. 2.178389 ÷ 897 =
  3. 3.917666 ÷ 897 =
  4. 4.2044 ÷ 8 =
  5. 5.671794 ÷ 997 =
  6. 6.47557 ÷ 89 =
  7. 7.23382 ÷ 88 =
  8. 8.16193 ÷ 96 =
  9. 9.593199 ÷ 897 =
  10. 10.132288 ÷ 989 =
  11. 11.29057 ÷ 97 =
  12. 12.92216 ÷ 88 =
  13. 13.289834 ÷ 897 =
  14. 14.44718 ÷ 89 =
  15. 15.1531 ÷ 8 =
  16. 16.475989 ÷ 988 =
  17. 17.978920 ÷ 997 =
  18. 18.245503 ÷ 997 =
  19. 19.5507 ÷ 8 =
  20. 20.41546 ÷ 998 =
  21. 21.287688 ÷ 998 =
  22. 22.87033 ÷ 97 =
  23. 23.159960 ÷ 989 =
  24. 24.14530 ÷ 98 =
  25. 25.37392 ÷ 88 =
  26. 26.248869 ÷ 997 =
  27. 27.66419 ÷ 96 =
  28. 28.329093 ÷ 897 =
  29. 29.52584 ÷ 88 =
  30. 30.11678 ÷ 96 =
  31. 31.13184 ÷ 88 =
  32. 32.442241 ÷ 998 =
  33. 33.6531 ÷ 8 =
  34. 34.2624 ÷ 8 =
  35. 35.4107 ÷ 8 =
  36. 36.20874 ÷ 97 =
  37. 37.7561 ÷ 8 =
  38. 38.90097 ÷ 989 =
  39. 39.534117 ÷ 897 =
  40. 40.967870 ÷ 998 =

Answer key

  1. 159 rem 63
  2. 198 rem 783
  3. 1023 rem 35
  4. 255 rem 4
  5. 673 rem 813
  6. 534 rem 31
  7. 265 rem 62
  8. 168 rem 65
  9. 661 rem 282
  10. 133 rem 751
  11. 299 rem 54
  12. 1047 rem 80
  13. 323 rem 103
  14. 502 rem 40
  15. 191 rem 3
  16. 481 rem 761
  17. 981 rem 863
  18. 246 rem 241
  19. 688 rem 3
  20. 41 rem 628
  21. 288 rem 264
  22. 897 rem 24
  23. 161 rem 731
  24. 148 rem 26
  25. 424 rem 80
  26. 249 rem 616
  27. 691 rem 83
  28. 366 rem 791
  29. 597 rem 48
  30. 121 rem 62
  31. 149 rem 72
  32. 443 rem 127
  33. 816 rem 3
  34. 328 rem 0
  35. 513 rem 3
  36. 215 rem 19
  37. 945 rem 1
  38. 91 rem 98
  39. 595 rem 402
  40. 969 rem 808

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