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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 775 · 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. 1.48070 ÷ 98 =
  2. 2.75607 ÷ 98 =
  3. 3.2453 ÷ 8 =
  4. 4.79030 ÷ 96 =
  5. 5.10189 ÷ 96 =
  6. 6.6441 ÷ 96 =
  7. 7.189726 ÷ 998 =
  8. 8.21653 ÷ 96 =
  9. 9.83249 ÷ 97 =
  10. 10.104931 ÷ 997 =
  11. 11.6177 ÷ 8 =
  12. 12.73069 ÷ 89 =
  13. 13.735032 ÷ 897 =
  14. 14.60466 ÷ 88 =
  15. 15.13906 ÷ 97 =
  16. 16.81483 ÷ 997 =
  17. 17.809069 ÷ 897 =
  18. 18.98737 ÷ 98 =
  19. 19.4435 ÷ 8 =
  20. 20.93407 ÷ 88 =
  21. 21.11698 ÷ 96 =
  22. 22.871818 ÷ 897 =
  23. 23.36651 ÷ 98 =
  24. 24.476252 ÷ 998 =
  25. 25.492377 ÷ 897 =
  26. 26.57149 ÷ 89 =
  27. 27.919234 ÷ 988 =
  28. 28.29451 ÷ 98 =
  29. 29.516217 ÷ 997 =
  30. 30.37218 ÷ 97 =
  31. 31.68997 ÷ 98 =
  32. 32.79477 ÷ 96 =
  33. 33.14518 ÷ 96 =
  34. 34.755017 ÷ 897 =
  35. 35.66116 ÷ 98 =
  36. 36.28651 ÷ 97 =
  37. 37.999037 ÷ 988 =
  38. 38.88227 ÷ 98 =
  39. 39.276026 ÷ 988 =
  40. 40.26454 ÷ 96 =

Answer key

  1. 490 rem 50
  2. 771 rem 49
  3. 306 rem 5
  4. 823 rem 22
  5. 106 rem 13
  6. 67 rem 9
  7. 190 rem 106
  8. 225 rem 53
  9. 858 rem 23
  10. 105 rem 246
  11. 772 rem 1
  12. 821 rem 0
  13. 819 rem 389
  14. 687 rem 10
  15. 143 rem 35
  16. 81 rem 726
  17. 901 rem 872
  18. 1007 rem 51
  19. 554 rem 3
  20. 1061 rem 39
  21. 121 rem 82
  22. 971 rem 831
  23. 373 rem 97
  24. 477 rem 206
  25. 548 rem 821
  26. 642 rem 11
  27. 930 rem 394
  28. 300 rem 51
  29. 517 rem 768
  30. 383 rem 67
  31. 704 rem 5
  32. 827 rem 85
  33. 151 rem 22
  34. 841 rem 640
  35. 674 rem 64
  36. 295 rem 36
  37. 1011 rem 169
  38. 900 rem 27
  39. 279 rem 374
  40. 275 rem 54

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