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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 12 · 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. 1.86996 ÷ 97 =
  2. 2.6268 ÷ 8 =
  3. 3.220026 ÷ 988 =
  4. 4.11296 ÷ 96 =
  5. 5.368368 ÷ 997 =
  6. 6.279579 ÷ 988 =
  7. 7.89466 ÷ 98 =
  8. 8.280295 ÷ 989 =
  9. 9.629000 ÷ 989 =
  10. 10.14546 ÷ 98 =
  11. 11.763951 ÷ 988 =
  12. 12.51278 ÷ 96 =
  13. 13.885482 ÷ 997 =
  14. 14.36080 ÷ 988 =
  15. 15.2694 ÷ 8 =
  16. 16.22264 ÷ 97 =
  17. 17.13123 ÷ 97 =
  18. 18.615764 ÷ 997 =
  19. 19.13500 ÷ 96 =
  20. 20.35115 ÷ 97 =
  21. 21.96016 ÷ 98 =
  22. 22.1461 ÷ 97 =
  23. 23.205261 ÷ 997 =
  24. 24.92263 ÷ 97 =
  25. 25.795498 ÷ 989 =
  26. 26.30706 ÷ 98 =
  27. 27.46869 ÷ 98 =
  28. 28.26511 ÷ 88 =
  29. 29.48770 ÷ 96 =
  30. 30.430094 ÷ 997 =
  31. 31.995601 ÷ 997 =
  32. 32.90074 ÷ 897 =
  33. 33.43130 ÷ 96 =
  34. 34.73027 ÷ 96 =
  35. 35.82313 ÷ 989 =
  36. 36.88467 ÷ 997 =
  37. 37.1224 ÷ 8 =
  38. 38.830880 ÷ 997 =
  39. 39.615196 ÷ 897 =
  40. 40.7303 ÷ 8 =

Answer key

  1. 896 rem 84
  2. 783 rem 4
  3. 222 rem 690
  4. 117 rem 64
  5. 369 rem 475
  6. 282 rem 963
  7. 912 rem 90
  8. 283 rem 408
  9. 635 rem 985
  10. 148 rem 42
  11. 773 rem 227
  12. 534 rem 14
  13. 888 rem 146
  14. 36 rem 512
  15. 336 rem 6
  16. 229 rem 51
  17. 135 rem 28
  18. 617 rem 615
  19. 140 rem 60
  20. 362 rem 1
  21. 979 rem 74
  22. 15 rem 6
  23. 205 rem 876
  24. 951 rem 16
  25. 804 rem 342
  26. 313 rem 32
  27. 478 rem 25
  28. 301 rem 23
  29. 508 rem 2
  30. 431 rem 387
  31. 998 rem 595
  32. 100 rem 374
  33. 449 rem 26
  34. 760 rem 67
  35. 83 rem 226
  36. 88 rem 731
  37. 153 rem 0
  38. 833 rem 379
  39. 685 rem 751
  40. 912 rem 7

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