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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 150 · 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. 1.269355 ÷ 988 =
  2. 2.913251 ÷ 897 =
  3. 3.34930 ÷ 96 =
  4. 4.503748 ÷ 997 =
  5. 5.3133 ÷ 8 =
  6. 6.42910 ÷ 89 =
  7. 7.476246 ÷ 998 =
  8. 8.762274 ÷ 989 =
  9. 9.492388 ÷ 897 =
  10. 10.501821 ÷ 989 =
  11. 11.84786 ÷ 96 =
  12. 12.996839 ÷ 989 =
  13. 13.76743 ÷ 97 =
  14. 14.107111 ÷ 988 =
  15. 15.32135 ÷ 97 =
  16. 16.118378 ÷ 988 =
  17. 17.228347 ÷ 998 =
  18. 18.39399 ÷ 97 =
  19. 19.844624 ÷ 989 =
  20. 20.308655 ÷ 997 =
  21. 21.341951 ÷ 897 =
  22. 22.21707 ÷ 98 =
  23. 23.88752 ÷ 96 =
  24. 24.28452 ÷ 98 =
  25. 25.673363 ÷ 989 =
  26. 26.446488 ÷ 989 =
  27. 27.10456 ÷ 89 =
  28. 28.9423 ÷ 96 =
  29. 29.85101 ÷ 96 =
  30. 30.2812 ÷ 98 =
  31. 31.893516 ÷ 998 =
  32. 32.78467 ÷ 897 =
  33. 33.986406 ÷ 998 =
  34. 34.224668 ÷ 897 =
  35. 35.3011 ÷ 8 =
  36. 36.28207 ÷ 96 =
  37. 37.73695 ÷ 97 =
  38. 38.387216 ÷ 988 =
  39. 39.3542 ÷ 8 =
  40. 40.153577 ÷ 998 =

Answer key

  1. 272 rem 619
  2. 1018 rem 105
  3. 363 rem 82
  4. 505 rem 263
  5. 391 rem 5
  6. 482 rem 12
  7. 477 rem 200
  8. 770 rem 744
  9. 548 rem 832
  10. 507 rem 398
  11. 883 rem 18
  12. 1007 rem 916
  13. 791 rem 16
  14. 108 rem 407
  15. 331 rem 28
  16. 119 rem 806
  17. 228 rem 803
  18. 406 rem 17
  19. 854 rem 18
  20. 309 rem 582
  21. 381 rem 194
  22. 221 rem 49
  23. 924 rem 48
  24. 290 rem 32
  25. 680 rem 843
  26. 451 rem 449
  27. 117 rem 43
  28. 98 rem 15
  29. 886 rem 45
  30. 28 rem 68
  31. 895 rem 306
  32. 87 rem 428
  33. 988 rem 382
  34. 250 rem 418
  35. 376 rem 3
  36. 293 rem 79
  37. 759 rem 72
  38. 391 rem 908
  39. 442 rem 6
  40. 153 rem 883

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