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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 969 · 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. 1.359714 ÷ 897 =
  2. 2.10167 ÷ 98 =
  3. 3.450206 ÷ 897 =
  4. 4.5552 ÷ 8 =
  5. 5.89707 ÷ 98 =
  6. 6.609158 ÷ 998 =
  7. 7.1887 ÷ 97 =
  8. 8.34163 ÷ 96 =
  9. 9.63769 ÷ 89 =
  10. 10.37368 ÷ 89 =
  11. 11.77093 ÷ 96 =
  12. 12.6876 ÷ 96 =
  13. 13.5337 ÷ 97 =
  14. 14.22977 ÷ 998 =
  15. 15.78093 ÷ 88 =
  16. 16.15056 ÷ 96 =
  17. 17.653489 ÷ 897 =
  18. 18.184109 ÷ 997 =
  19. 19.590399 ÷ 988 =
  20. 20.688934 ÷ 998 =
  21. 21.49528 ÷ 97 =
  22. 22.94569 ÷ 97 =
  23. 23.36486 ÷ 97 =
  24. 24.4927 ÷ 8 =
  25. 25.2430 ÷ 8 =
  26. 26.5631 ÷ 98 =
  27. 27.190169 ÷ 997 =
  28. 28.48738 ÷ 88 =
  29. 29.73379 ÷ 97 =
  30. 30.77092 ÷ 97 =
  31. 31.463963 ÷ 988 =
  32. 32.423903 ÷ 998 =
  33. 33.85251 ÷ 96 =
  34. 34.770071 ÷ 997 =
  35. 35.27398 ÷ 89 =
  36. 36.29724 ÷ 988 =
  37. 37.133219 ÷ 989 =
  38. 38.9969 ÷ 8 =
  39. 39.42102 ÷ 88 =
  40. 40.30471 ÷ 88 =

Answer key

  1. 401 rem 17
  2. 103 rem 73
  3. 501 rem 809
  4. 694 rem 0
  5. 915 rem 37
  6. 610 rem 378
  7. 19 rem 44
  8. 355 rem 83
  9. 716 rem 45
  10. 419 rem 77
  11. 803 rem 5
  12. 71 rem 60
  13. 55 rem 2
  14. 23 rem 23
  15. 887 rem 37
  16. 156 rem 80
  17. 728 rem 473
  18. 184 rem 661
  19. 597 rem 563
  20. 690 rem 314
  21. 510 rem 58
  22. 974 rem 91
  23. 376 rem 14
  24. 615 rem 7
  25. 303 rem 6
  26. 57 rem 45
  27. 190 rem 739
  28. 553 rem 74
  29. 756 rem 47
  30. 794 rem 74
  31. 469 rem 591
  32. 424 rem 751
  33. 888 rem 3
  34. 772 rem 387
  35. 307 rem 75
  36. 30 rem 84
  37. 134 rem 693
  38. 1246 rem 1
  39. 478 rem 38
  40. 346 rem 23

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