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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 466 · 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. 1.319829 ÷ 897 =
  2. 2.808584 ÷ 988 =
  3. 3.92930 ÷ 89 =
  4. 4.31039 ÷ 96 =
  5. 5.182539 ÷ 998 =
  6. 6.994 ÷ 8 =
  7. 7.1672 ÷ 8 =
  8. 8.1398 ÷ 96 =
  9. 9.75541 ÷ 989 =
  10. 10.96390 ÷ 98 =
  11. 11.99043 ÷ 89 =
  12. 12.54890 ÷ 997 =
  13. 13.7128 ÷ 88 =
  14. 14.209283 ÷ 997 =
  15. 15.302 ÷ 8 =
  16. 16.19393 ÷ 98 =
  17. 17.35974 ÷ 89 =
  18. 18.42463 ÷ 88 =
  19. 19.759031 ÷ 989 =
  20. 20.13009 ÷ 89 =
  21. 21.431834 ÷ 997 =
  22. 22.23636 ÷ 98 =
  23. 23.94297 ÷ 897 =
  24. 24.9070 ÷ 96 =
  25. 25.894515 ÷ 998 =
  26. 26.7579 ÷ 89 =
  27. 27.67508 ÷ 97 =
  28. 28.7004 ÷ 88 =
  29. 29.55822 ÷ 89 =
  30. 30.23615 ÷ 96 =
  31. 31.764824 ÷ 998 =
  32. 32.5486 ÷ 89 =
  33. 33.33111 ÷ 988 =
  34. 34.41225 ÷ 997 =
  35. 35.29802 ÷ 89 =
  36. 36.40166 ÷ 97 =
  37. 37.68206 ÷ 88 =
  38. 38.163363 ÷ 988 =
  39. 39.127569 ÷ 989 =
  40. 40.59775 ÷ 96 =

Answer key

  1. 356 rem 497
  2. 818 rem 400
  3. 1044 rem 14
  4. 323 rem 31
  5. 182 rem 903
  6. 124 rem 2
  7. 209 rem 0
  8. 14 rem 54
  9. 76 rem 377
  10. 983 rem 56
  11. 1112 rem 75
  12. 55 rem 55
  13. 81 rem 0
  14. 209 rem 910
  15. 37 rem 6
  16. 197 rem 87
  17. 404 rem 18
  18. 482 rem 47
  19. 767 rem 468
  20. 146 rem 15
  21. 433 rem 133
  22. 241 rem 18
  23. 105 rem 112
  24. 94 rem 46
  25. 896 rem 307
  26. 85 rem 14
  27. 695 rem 93
  28. 79 rem 52
  29. 627 rem 19
  30. 245 rem 95
  31. 766 rem 356
  32. 61 rem 57
  33. 33 rem 507
  34. 41 rem 348
  35. 334 rem 76
  36. 414 rem 8
  37. 775 rem 6
  38. 165 rem 343
  39. 128 rem 977
  40. 622 rem 63

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