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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 365 · 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. 1.12356 ÷ 97 =
  2. 2.16245 ÷ 997 =
  3. 3.65205 ÷ 98 =
  4. 4.410833 ÷ 998 =
  5. 5.22348 ÷ 88 =
  6. 6.78649 ÷ 89 =
  7. 7.542137 ÷ 998 =
  8. 8.219820 ÷ 988 =
  9. 9.12478 ÷ 997 =
  10. 10.958866 ÷ 897 =
  11. 11.3142 ÷ 8 =
  12. 12.2550 ÷ 96 =
  13. 13.35377 ÷ 88 =
  14. 14.88489 ÷ 98 =
  15. 15.63774 ÷ 89 =
  16. 16.19748 ÷ 97 =
  17. 17.124123 ÷ 997 =
  18. 18.3969 ÷ 98 =
  19. 19.29220 ÷ 98 =
  20. 20.951198 ÷ 997 =
  21. 21.23452 ÷ 88 =
  22. 22.95325 ÷ 96 =
  23. 23.12202 ÷ 98 =
  24. 24.491385 ÷ 988 =
  25. 25.3479 ÷ 97 =
  26. 26.10204 ÷ 88 =
  27. 27.72446 ÷ 96 =
  28. 28.68778 ÷ 89 =
  29. 29.456016 ÷ 997 =
  30. 30.9562 ÷ 8 =
  31. 31.167139 ÷ 989 =
  32. 32.961539 ÷ 998 =
  33. 33.12413 ÷ 89 =
  34. 34.3295 ÷ 8 =
  35. 35.66490 ÷ 97 =
  36. 36.28055 ÷ 997 =
  37. 37.17407 ÷ 97 =
  38. 38.667551 ÷ 897 =
  39. 39.194948 ÷ 998 =
  40. 40.17239 ÷ 98 =

Answer key

  1. 127 rem 37
  2. 16 rem 293
  3. 665 rem 35
  4. 411 rem 655
  5. 253 rem 84
  6. 883 rem 62
  7. 543 rem 223
  8. 222 rem 484
  9. 12 rem 514
  10. 1068 rem 870
  11. 392 rem 6
  12. 26 rem 54
  13. 402 rem 1
  14. 902 rem 93
  15. 716 rem 50
  16. 203 rem 57
  17. 124 rem 495
  18. 40 rem 49
  19. 298 rem 16
  20. 954 rem 60
  21. 266 rem 44
  22. 992 rem 93
  23. 124 rem 50
  24. 497 rem 349
  25. 35 rem 84
  26. 115 rem 84
  27. 754 rem 62
  28. 772 rem 70
  29. 457 rem 387
  30. 1195 rem 2
  31. 168 rem 987
  32. 963 rem 465
  33. 139 rem 42
  34. 411 rem 7
  35. 685 rem 45
  36. 28 rem 139
  37. 179 rem 44
  38. 744 rem 183
  39. 195 rem 338
  40. 175 rem 89

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