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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 513 · 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. 1.3083 ÷ 8 =
  2. 2.82637 ÷ 89 =
  3. 3.28401 ÷ 97 =
  4. 4.63341 ÷ 96 =
  5. 5.210804 ÷ 997 =
  6. 6.76570 ÷ 96 =
  7. 7.74526 ÷ 89 =
  8. 8.889281 ÷ 988 =
  9. 9.151875 ÷ 988 =
  10. 10.31785 ÷ 88 =
  11. 11.543805 ÷ 897 =
  12. 12.80756 ÷ 89 =
  13. 13.302514 ÷ 997 =
  14. 14.237303 ÷ 997 =
  15. 15.896906 ÷ 988 =
  16. 16.576211 ÷ 998 =
  17. 17.34112 ÷ 89 =
  18. 18.921 ÷ 8 =
  19. 19.66935 ÷ 97 =
  20. 20.42132 ÷ 98 =
  21. 21.8373 ÷ 8 =
  22. 22.5398 ÷ 8 =
  23. 23.62652 ÷ 89 =
  24. 24.53287 ÷ 988 =
  25. 25.68176 ÷ 89 =
  26. 26.3145 ÷ 8 =
  27. 27.75853 ÷ 98 =
  28. 28.13932 ÷ 998 =
  29. 29.50749 ÷ 988 =
  30. 30.463797 ÷ 988 =
  31. 31.17924 ÷ 988 =
  32. 32.589701 ÷ 988 =
  33. 33.653449 ÷ 998 =
  34. 34.49762 ÷ 96 =
  35. 35.42458 ÷ 97 =
  36. 36.58101 ÷ 98 =
  37. 37.98990 ÷ 997 =
  38. 38.601996 ÷ 897 =
  39. 39.160416 ÷ 989 =
  40. 40.22846 ÷ 97 =

Answer key

  1. 385 rem 3
  2. 928 rem 45
  3. 292 rem 77
  4. 659 rem 77
  5. 211 rem 437
  6. 797 rem 58
  7. 837 rem 33
  8. 900 rem 81
  9. 153 rem 711
  10. 361 rem 17
  11. 606 rem 223
  12. 907 rem 33
  13. 303 rem 423
  14. 238 rem 17
  15. 907 rem 790
  16. 577 rem 365
  17. 383 rem 25
  18. 115 rem 1
  19. 690 rem 5
  20. 429 rem 90
  21. 1046 rem 5
  22. 674 rem 6
  23. 703 rem 85
  24. 53 rem 923
  25. 766 rem 2
  26. 393 rem 1
  27. 774 rem 1
  28. 13 rem 958
  29. 51 rem 361
  30. 469 rem 425
  31. 18 rem 140
  32. 596 rem 853
  33. 654 rem 757
  34. 518 rem 34
  35. 437 rem 69
  36. 592 rem 85
  37. 99 rem 287
  38. 671 rem 109
  39. 162 rem 198
  40. 235 rem 51

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