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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 548 · 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. 1.4851 ÷ 8 =
  2. 2.253775 ÷ 997 =
  3. 3.53670 ÷ 96 =
  4. 4.135052 ÷ 897 =
  5. 5.92053 ÷ 98 =
  6. 6.703969 ÷ 997 =
  7. 7.26738 ÷ 88 =
  8. 8.405456 ÷ 989 =
  9. 9.18237 ÷ 96 =
  10. 10.73579 ÷ 97 =
  11. 11.92521 ÷ 89 =
  12. 12.858496 ÷ 998 =
  13. 13.374890 ÷ 998 =
  14. 14.4812 ÷ 8 =
  15. 15.205 ÷ 8 =
  16. 16.638551 ÷ 989 =
  17. 17.452704 ÷ 897 =
  18. 18.20918 ÷ 97 =
  19. 19.850427 ÷ 989 =
  20. 20.178102 ÷ 998 =
  21. 21.753197 ÷ 998 =
  22. 22.6143 ÷ 8 =
  23. 23.22100 ÷ 98 =
  24. 24.28125 ÷ 97 =
  25. 25.99846 ÷ 88 =
  26. 26.82744 ÷ 97 =
  27. 27.30169 ÷ 96 =
  28. 28.1798 ÷ 96 =
  29. 29.221842 ÷ 988 =
  30. 30.14363 ÷ 96 =
  31. 31.7366 ÷ 8 =
  32. 32.42647 ÷ 989 =
  33. 33.90581 ÷ 88 =
  34. 34.4614 ÷ 8 =
  35. 35.534161 ÷ 998 =
  36. 36.931492 ÷ 997 =
  37. 37.6601 ÷ 88 =
  38. 38.38189 ÷ 89 =
  39. 39.14368 ÷ 88 =
  40. 40.84866 ÷ 98 =

Answer key

  1. 606 rem 3
  2. 254 rem 537
  3. 559 rem 6
  4. 150 rem 502
  5. 939 rem 31
  6. 706 rem 87
  7. 303 rem 74
  8. 409 rem 955
  9. 189 rem 93
  10. 758 rem 53
  11. 1039 rem 50
  12. 860 rem 216
  13. 375 rem 640
  14. 601 rem 4
  15. 25 rem 5
  16. 645 rem 646
  17. 504 rem 616
  18. 215 rem 63
  19. 859 rem 876
  20. 178 rem 458
  21. 754 rem 705
  22. 767 rem 7
  23. 225 rem 50
  24. 289 rem 92
  25. 1134 rem 54
  26. 853 rem 3
  27. 314 rem 25
  28. 18 rem 70
  29. 224 rem 530
  30. 149 rem 59
  31. 920 rem 6
  32. 43 rem 120
  33. 1029 rem 29
  34. 576 rem 6
  35. 535 rem 231
  36. 934 rem 294
  37. 75 rem 1
  38. 429 rem 8
  39. 163 rem 24
  40. 865 rem 96

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