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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 594 · 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. 1.32094 ÷ 96 =
  2. 2.9341 ÷ 8 =
  3. 3.23529 ÷ 89 =
  4. 4.45076 ÷ 88 =
  5. 5.4275 ÷ 8 =
  6. 6.840907 ÷ 897 =
  7. 7.39495 ÷ 89 =
  8. 8.85453 ÷ 89 =
  9. 9.117869 ÷ 897 =
  10. 10.96223 ÷ 89 =
  11. 11.17833 ÷ 97 =
  12. 12.19566 ÷ 98 =
  13. 13.72057 ÷ 88 =
  14. 14.17058 ÷ 98 =
  15. 15.90524 ÷ 97 =
  16. 16.4271 ÷ 8 =
  17. 17.6395 ÷ 8 =
  18. 18.976178 ÷ 988 =
  19. 19.463204 ÷ 897 =
  20. 20.4655 ÷ 8 =
  21. 21.722420 ÷ 897 =
  22. 22.862391 ÷ 997 =
  23. 23.122996 ÷ 897 =
  24. 24.28223 ÷ 88 =
  25. 25.426243 ÷ 998 =
  26. 26.62586 ÷ 997 =
  27. 27.996270 ÷ 998 =
  28. 28.459381 ÷ 988 =
  29. 29.49244 ÷ 88 =
  30. 30.4906 ÷ 89 =
  31. 31.92748 ÷ 88 =
  32. 32.119806 ÷ 998 =
  33. 33.21326 ÷ 97 =
  34. 34.89108 ÷ 88 =
  35. 35.984984 ÷ 988 =
  36. 36.63575 ÷ 89 =
  37. 37.30105 ÷ 89 =
  38. 38.511279 ÷ 989 =
  39. 39.997523 ÷ 988 =
  40. 40.49132 ÷ 97 =

Answer key

  1. 334 rem 30
  2. 1167 rem 5
  3. 264 rem 33
  4. 512 rem 20
  5. 534 rem 3
  6. 937 rem 418
  7. 443 rem 68
  8. 960 rem 13
  9. 131 rem 362
  10. 1081 rem 14
  11. 183 rem 82
  12. 199 rem 64
  13. 818 rem 73
  14. 174 rem 6
  15. 933 rem 23
  16. 533 rem 7
  17. 799 rem 3
  18. 988 rem 34
  19. 516 rem 352
  20. 581 rem 7
  21. 805 rem 335
  22. 864 rem 983
  23. 137 rem 107
  24. 320 rem 63
  25. 427 rem 97
  26. 62 rem 772
  27. 998 rem 266
  28. 464 rem 949
  29. 559 rem 52
  30. 55 rem 11
  31. 1053 rem 84
  32. 120 rem 46
  33. 219 rem 83
  34. 1012 rem 52
  35. 996 rem 936
  36. 714 rem 29
  37. 338 rem 23
  38. 516 rem 955
  39. 1009 rem 631
  40. 506 rem 50

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