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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 208 · 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. 1.43335 ÷ 89 =
  2. 2.965934 ÷ 989 =
  3. 3.8841 ÷ 98 =
  4. 4.168565 ÷ 989 =
  5. 5.86317 ÷ 98 =
  6. 6.807600 ÷ 897 =
  7. 7.50357 ÷ 88 =
  8. 8.81524 ÷ 97 =
  9. 9.859730 ÷ 997 =
  10. 10.131133 ÷ 897 =
  11. 11.730360 ÷ 989 =
  12. 12.601162 ÷ 988 =
  13. 13.17374 ÷ 89 =
  14. 14.83903 ÷ 989 =
  15. 15.10994 ÷ 97 =
  16. 16.29181 ÷ 98 =
  17. 17.19854 ÷ 98 =
  18. 18.985177 ÷ 897 =
  19. 19.17022 ÷ 89 =
  20. 20.9436 ÷ 8 =
  21. 21.609238 ÷ 897 =
  22. 22.6026 ÷ 96 =
  23. 23.87771 ÷ 88 =
  24. 24.18300 ÷ 96 =
  25. 25.956676 ÷ 989 =
  26. 26.86208 ÷ 98 =
  27. 27.536833 ÷ 998 =
  28. 28.682751 ÷ 997 =
  29. 29.381679 ÷ 998 =
  30. 30.201898 ÷ 998 =
  31. 31.179526 ÷ 998 =
  32. 32.54972 ÷ 97 =
  33. 33.98454 ÷ 96 =
  34. 34.78536 ÷ 98 =
  35. 35.707662 ÷ 997 =
  36. 36.716424 ÷ 988 =
  37. 37.610942 ÷ 988 =
  38. 38.55077 ÷ 88 =
  39. 39.806540 ÷ 897 =
  40. 40.89818 ÷ 96 =

Answer key

  1. 486 rem 81
  2. 976 rem 670
  3. 90 rem 21
  4. 170 rem 435
  5. 880 rem 77
  6. 900 rem 300
  7. 572 rem 21
  8. 840 rem 44
  9. 862 rem 316
  10. 146 rem 171
  11. 738 rem 478
  12. 608 rem 458
  13. 195 rem 19
  14. 84 rem 827
  15. 113 rem 33
  16. 297 rem 75
  17. 202 rem 58
  18. 1098 rem 271
  19. 191 rem 23
  20. 1179 rem 4
  21. 679 rem 175
  22. 62 rem 74
  23. 997 rem 35
  24. 190 rem 60
  25. 967 rem 313
  26. 879 rem 66
  27. 537 rem 907
  28. 684 rem 803
  29. 382 rem 443
  30. 202 rem 302
  31. 179 rem 884
  32. 566 rem 70
  33. 1025 rem 54
  34. 801 rem 38
  35. 709 rem 789
  36. 725 rem 124
  37. 618 rem 358
  38. 625 rem 77
  39. 899 rem 137
  40. 935 rem 58

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