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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 281 · 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. 1.55724 ÷ 88 =
  2. 2.991644 ÷ 897 =
  3. 3.633330 ÷ 997 =
  4. 4.172 ÷ 8 =
  5. 5.26098 ÷ 88 =
  6. 6.2211 ÷ 8 =
  7. 7.33838 ÷ 97 =
  8. 8.31121 ÷ 88 =
  9. 9.2906 ÷ 88 =
  10. 10.6519 ÷ 98 =
  11. 11.5572 ÷ 8 =
  12. 12.53137 ÷ 89 =
  13. 13.27800 ÷ 88 =
  14. 14.32492 ÷ 988 =
  15. 15.84219 ÷ 88 =
  16. 16.13492 ÷ 96 =
  17. 17.58719 ÷ 97 =
  18. 18.79944 ÷ 97 =
  19. 19.3991 ÷ 8 =
  20. 20.36265 ÷ 96 =
  21. 21.855001 ÷ 989 =
  22. 22.66009 ÷ 88 =
  23. 23.6503 ÷ 89 =
  24. 24.59924 ÷ 88 =
  25. 25.52289 ÷ 88 =
  26. 26.342089 ÷ 897 =
  27. 27.2960 ÷ 97 =
  28. 28.4356 ÷ 97 =
  29. 29.48940 ÷ 98 =
  30. 30.102127 ÷ 997 =
  31. 31.4712 ÷ 88 =
  32. 32.51664 ÷ 98 =
  33. 33.93419 ÷ 96 =
  34. 34.1836 ÷ 8 =
  35. 35.41554 ÷ 97 =
  36. 36.96608 ÷ 998 =
  37. 37.687630 ÷ 988 =
  38. 38.8292 ÷ 8 =
  39. 39.90218 ÷ 88 =
  40. 40.553224 ÷ 998 =

Answer key

  1. 633 rem 20
  2. 1105 rem 459
  3. 635 rem 235
  4. 21 rem 4
  5. 296 rem 50
  6. 276 rem 3
  7. 348 rem 82
  8. 353 rem 57
  9. 33 rem 2
  10. 66 rem 51
  11. 696 rem 4
  12. 597 rem 4
  13. 315 rem 80
  14. 32 rem 876
  15. 957 rem 3
  16. 140 rem 52
  17. 605 rem 34
  18. 824 rem 16
  19. 498 rem 7
  20. 377 rem 73
  21. 864 rem 505
  22. 750 rem 9
  23. 73 rem 6
  24. 680 rem 84
  25. 594 rem 17
  26. 381 rem 332
  27. 30 rem 50
  28. 44 rem 88
  29. 499 rem 38
  30. 102 rem 433
  31. 53 rem 48
  32. 527 rem 18
  33. 973 rem 11
  34. 229 rem 4
  35. 428 rem 38
  36. 96 rem 800
  37. 695 rem 970
  38. 1036 rem 4
  39. 1025 rem 18
  40. 554 rem 332

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