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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 536 · 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. 1.228006 ÷ 998 =
  2. 2.723946 ÷ 998 =
  3. 3.8320 ÷ 8 =
  4. 4.3965 ÷ 8 =
  5. 5.208627 ÷ 897 =
  6. 6.93256 ÷ 96 =
  7. 7.20403 ÷ 97 =
  8. 8.31803 ÷ 98 =
  9. 9.677219 ÷ 998 =
  10. 10.434105 ÷ 897 =
  11. 11.7395 ÷ 8 =
  12. 12.55686 ÷ 988 =
  13. 13.62448 ÷ 97 =
  14. 14.504424 ÷ 998 =
  15. 15.17491 ÷ 998 =
  16. 16.2742 ÷ 8 =
  17. 17.80676 ÷ 98 =
  18. 18.27166 ÷ 97 =
  19. 19.7995 ÷ 8 =
  20. 20.98394 ÷ 98 =
  21. 21.45413 ÷ 96 =
  22. 22.49111 ÷ 89 =
  23. 23.4379 ÷ 8 =
  24. 24.3512 ÷ 8 =
  25. 25.603616 ÷ 998 =
  26. 26.189225 ÷ 997 =
  27. 27.57129 ÷ 98 =
  28. 28.373114 ÷ 897 =
  29. 29.77548 ÷ 88 =
  30. 30.3208 ÷ 8 =
  31. 31.64931 ÷ 988 =
  32. 32.8224 ÷ 98 =
  33. 33.97958 ÷ 98 =
  34. 34.874483 ÷ 989 =
  35. 35.52795 ÷ 97 =
  36. 36.291701 ÷ 988 =
  37. 37.15778 ÷ 89 =
  38. 38.60590 ÷ 88 =
  39. 39.91777 ÷ 88 =
  40. 40.260374 ÷ 897 =

Answer key

  1. 228 rem 462
  2. 725 rem 396
  3. 1040 rem 0
  4. 495 rem 5
  5. 232 rem 523
  6. 971 rem 40
  7. 210 rem 33
  8. 324 rem 51
  9. 678 rem 575
  10. 483 rem 854
  11. 924 rem 3
  12. 56 rem 358
  13. 643 rem 77
  14. 505 rem 434
  15. 17 rem 525
  16. 342 rem 6
  17. 823 rem 22
  18. 280 rem 6
  19. 999 rem 3
  20. 1004 rem 2
  21. 473 rem 5
  22. 551 rem 72
  23. 547 rem 3
  24. 439 rem 0
  25. 604 rem 824
  26. 189 rem 792
  27. 582 rem 93
  28. 415 rem 859
  29. 881 rem 20
  30. 401 rem 0
  31. 65 rem 711
  32. 83 rem 90
  33. 999 rem 56
  34. 884 rem 207
  35. 544 rem 27
  36. 295 rem 241
  37. 177 rem 25
  38. 688 rem 46
  39. 1042 rem 81
  40. 290 rem 244

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