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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 261 · 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. 1.381174 ÷ 997 =
  2. 2.8189 ÷ 8 =
  3. 3.676542 ÷ 897 =
  4. 4.450466 ÷ 989 =
  5. 5.91040 ÷ 89 =
  6. 6.95110 ÷ 96 =
  7. 7.22484 ÷ 89 =
  8. 8.945359 ÷ 998 =
  9. 9.485452 ÷ 989 =
  10. 10.3117 ÷ 97 =
  11. 11.6413 ÷ 89 =
  12. 12.99848 ÷ 96 =
  13. 13.643406 ÷ 897 =
  14. 14.208333 ÷ 989 =
  15. 15.7757 ÷ 8 =
  16. 16.771957 ÷ 897 =
  17. 17.2859 ÷ 8 =
  18. 18.16528 ÷ 897 =
  19. 19.168525 ÷ 989 =
  20. 20.656624 ÷ 997 =
  21. 21.30305 ÷ 97 =
  22. 22.59450 ÷ 97 =
  23. 23.116129 ÷ 997 =
  24. 24.75018 ÷ 97 =
  25. 25.72497 ÷ 989 =
  26. 26.19979 ÷ 89 =
  27. 27.956037 ÷ 997 =
  28. 28.222006 ÷ 997 =
  29. 29.763137 ÷ 897 =
  30. 30.8140 ÷ 8 =
  31. 31.52130 ÷ 88 =
  32. 32.123 ÷ 8 =
  33. 33.45656 ÷ 89 =
  34. 34.544088 ÷ 989 =
  35. 35.53565 ÷ 997 =
  36. 36.8509 ÷ 98 =
  37. 37.95284 ÷ 98 =
  38. 38.16894 ÷ 89 =
  39. 39.477683 ÷ 897 =
  40. 40.26938 ÷ 89 =

Answer key

  1. 382 rem 320
  2. 1023 rem 5
  3. 754 rem 204
  4. 455 rem 471
  5. 1022 rem 82
  6. 990 rem 70
  7. 252 rem 56
  8. 947 rem 253
  9. 490 rem 842
  10. 32 rem 13
  11. 72 rem 5
  12. 1040 rem 8
  13. 717 rem 257
  14. 210 rem 643
  15. 969 rem 5
  16. 860 rem 537
  17. 357 rem 3
  18. 18 rem 382
  19. 170 rem 395
  20. 658 rem 598
  21. 312 rem 41
  22. 612 rem 86
  23. 116 rem 477
  24. 773 rem 37
  25. 73 rem 300
  26. 224 rem 43
  27. 958 rem 911
  28. 222 rem 672
  29. 850 rem 687
  30. 1017 rem 4
  31. 592 rem 34
  32. 15 rem 3
  33. 512 rem 88
  34. 550 rem 138
  35. 53 rem 724
  36. 86 rem 81
  37. 972 rem 28
  38. 189 rem 73
  39. 532 rem 479
  40. 302 rem 60

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