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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 391 · 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. 1.14812 ÷ 88 =
  2. 2.28546 ÷ 88 =
  3. 3.5526 ÷ 8 =
  4. 4.67075 ÷ 897 =
  5. 5.405766 ÷ 897 =
  6. 6.259201 ÷ 988 =
  7. 7.228751 ÷ 897 =
  8. 8.45848 ÷ 96 =
  9. 9.86378 ÷ 88 =
  10. 10.844391 ÷ 997 =
  11. 11.88535 ÷ 98 =
  12. 12.993792 ÷ 897 =
  13. 13.26650 ÷ 96 =
  14. 14.211793 ÷ 897 =
  15. 15.388846 ÷ 988 =
  16. 16.7889 ÷ 88 =
  17. 17.48286 ÷ 98 =
  18. 18.30151 ÷ 97 =
  19. 19.53291 ÷ 96 =
  20. 20.101251 ÷ 997 =
  21. 21.74471 ÷ 96 =
  22. 22.319192 ÷ 997 =
  23. 23.477434 ÷ 998 =
  24. 24.80430 ÷ 96 =
  25. 25.605751 ÷ 989 =
  26. 26.454755 ÷ 989 =
  27. 27.359 ÷ 8 =
  28. 28.23336 ÷ 98 =
  29. 29.350101 ÷ 897 =
  30. 30.557436 ÷ 997 =
  31. 31.9624 ÷ 88 =
  32. 32.92192 ÷ 89 =
  33. 33.1752 ÷ 8 =
  34. 34.3238 ÷ 8 =
  35. 35.523087 ÷ 997 =
  36. 36.48841 ÷ 88 =
  37. 37.24518 ÷ 97 =
  38. 38.71578 ÷ 89 =
  39. 39.35974 ÷ 88 =
  40. 40.689510 ÷ 988 =

Answer key

  1. 168 rem 28
  2. 324 rem 34
  3. 690 rem 6
  4. 74 rem 697
  5. 452 rem 322
  6. 262 rem 345
  7. 255 rem 16
  8. 477 rem 56
  9. 981 rem 50
  10. 846 rem 929
  11. 903 rem 41
  12. 1107 rem 813
  13. 277 rem 58
  14. 236 rem 101
  15. 393 rem 562
  16. 89 rem 57
  17. 492 rem 70
  18. 310 rem 81
  19. 555 rem 11
  20. 101 rem 554
  21. 775 rem 71
  22. 320 rem 152
  23. 478 rem 390
  24. 837 rem 78
  25. 612 rem 483
  26. 459 rem 804
  27. 44 rem 7
  28. 238 rem 12
  29. 390 rem 271
  30. 559 rem 113
  31. 109 rem 32
  32. 1035 rem 77
  33. 219 rem 0
  34. 404 rem 6
  35. 524 rem 659
  36. 555 rem 1
  37. 252 rem 74
  38. 804 rem 22
  39. 408 rem 70
  40. 697 rem 874

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