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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 189 · 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. 1.68486 ÷ 998 =
  2. 2.95667 ÷ 88 =
  3. 3.3528 ÷ 8 =
  4. 4.90207 ÷ 97 =
  5. 5.56220 ÷ 98 =
  6. 6.754831 ÷ 989 =
  7. 7.849306 ÷ 988 =
  8. 8.263708 ÷ 998 =
  9. 9.606248 ÷ 997 =
  10. 10.119948 ÷ 998 =
  11. 11.29961 ÷ 88 =
  12. 12.959492 ÷ 989 =
  13. 13.271 ÷ 8 =
  14. 14.23866 ÷ 89 =
  15. 15.3359 ÷ 98 =
  16. 16.81368 ÷ 96 =
  17. 17.28668 ÷ 96 =
  18. 18.227454 ÷ 989 =
  19. 19.323477 ÷ 998 =
  20. 20.62659 ÷ 97 =
  21. 21.931217 ÷ 988 =
  22. 22.68789 ÷ 89 =
  23. 23.73379 ÷ 98 =
  24. 24.920077 ÷ 989 =
  25. 25.73881 ÷ 98 =
  26. 26.57607 ÷ 96 =
  27. 27.14944 ÷ 96 =
  28. 28.28018 ÷ 89 =
  29. 29.879220 ÷ 998 =
  30. 30.2813 ÷ 8 =
  31. 31.207521 ÷ 997 =
  32. 32.595565 ÷ 989 =
  33. 33.5472 ÷ 8 =
  34. 34.575466 ÷ 997 =
  35. 35.49287 ÷ 88 =
  36. 36.107079 ÷ 997 =
  37. 37.42591 ÷ 97 =
  38. 38.3752 ÷ 8 =
  39. 39.8563 ÷ 8 =
  40. 40.87856 ÷ 89 =

Answer key

  1. 68 rem 622
  2. 1087 rem 11
  3. 441 rem 0
  4. 929 rem 94
  5. 573 rem 66
  6. 763 rem 224
  7. 859 rem 614
  8. 264 rem 236
  9. 608 rem 72
  10. 120 rem 188
  11. 340 rem 41
  12. 970 rem 162
  13. 33 rem 7
  14. 268 rem 14
  15. 34 rem 27
  16. 847 rem 56
  17. 298 rem 60
  18. 229 rem 973
  19. 324 rem 125
  20. 645 rem 94
  21. 942 rem 521
  22. 772 rem 81
  23. 748 rem 75
  24. 930 rem 307
  25. 753 rem 87
  26. 600 rem 7
  27. 155 rem 64
  28. 314 rem 72
  29. 880 rem 980
  30. 351 rem 5
  31. 208 rem 145
  32. 602 rem 187
  33. 684 rem 0
  34. 577 rem 197
  35. 560 rem 7
  36. 107 rem 400
  37. 439 rem 8
  38. 469 rem 0
  39. 1070 rem 3
  40. 987 rem 13

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