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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 89 · 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. 1.562798 ÷ 997 =
  2. 2.500402 ÷ 989 =
  3. 3.440119 ÷ 989 =
  4. 4.2444 ÷ 8 =
  5. 5.55348 ÷ 96 =
  6. 6.66900 ÷ 97 =
  7. 7.191000 ÷ 897 =
  8. 8.359141 ÷ 988 =
  9. 9.167790 ÷ 897 =
  10. 10.87752 ÷ 96 =
  11. 11.592133 ÷ 997 =
  12. 12.965919 ÷ 997 =
  13. 13.36246 ÷ 97 =
  14. 14.19773 ÷ 96 =
  15. 15.811353 ÷ 998 =
  16. 16.56167 ÷ 88 =
  17. 17.99459 ÷ 89 =
  18. 18.9909 ÷ 8 =
  19. 19.21025 ÷ 88 =
  20. 20.34659 ÷ 96 =
  21. 21.51452 ÷ 98 =
  22. 22.49727 ÷ 96 =
  23. 23.91340 ÷ 89 =
  24. 24.201600 ÷ 997 =
  25. 25.56569 ÷ 988 =
  26. 26.48137 ÷ 96 =
  27. 27.4831 ÷ 96 =
  28. 28.888014 ÷ 998 =
  29. 29.633548 ÷ 897 =
  30. 30.81604 ÷ 96 =
  31. 31.8720 ÷ 98 =
  32. 32.24052 ÷ 88 =
  33. 33.655850 ÷ 997 =
  34. 34.31111 ÷ 98 =
  35. 35.977401 ÷ 989 =
  36. 36.7560 ÷ 8 =
  37. 37.16530 ÷ 88 =
  38. 38.382965 ÷ 997 =
  39. 39.109106 ÷ 989 =
  40. 40.24419 ÷ 88 =

Answer key

  1. 564 rem 490
  2. 505 rem 957
  3. 445 rem 14
  4. 305 rem 4
  5. 576 rem 52
  6. 689 rem 67
  7. 212 rem 836
  8. 363 rem 497
  9. 187 rem 51
  10. 914 rem 8
  11. 593 rem 912
  12. 968 rem 823
  13. 373 rem 65
  14. 205 rem 93
  15. 812 rem 977
  16. 638 rem 23
  17. 1117 rem 46
  18. 1238 rem 5
  19. 238 rem 81
  20. 361 rem 3
  21. 525 rem 2
  22. 517 rem 95
  23. 1026 rem 26
  24. 202 rem 206
  25. 57 rem 253
  26. 501 rem 41
  27. 50 rem 31
  28. 889 rem 792
  29. 706 rem 266
  30. 850 rem 4
  31. 88 rem 96
  32. 273 rem 28
  33. 657 rem 821
  34. 317 rem 45
  35. 988 rem 269
  36. 945 rem 0
  37. 187 rem 74
  38. 384 rem 117
  39. 110 rem 316
  40. 277 rem 43

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