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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 605 · 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. 1.236652 ÷ 998 =
  2. 2.49795 ÷ 89 =
  3. 3.62560 ÷ 98 =
  4. 4.139514 ÷ 897 =
  5. 5.87621 ÷ 98 =
  6. 6.744917 ÷ 897 =
  7. 7.154168 ÷ 989 =
  8. 8.197748 ÷ 998 =
  9. 9.946080 ÷ 998 =
  10. 10.74001 ÷ 96 =
  11. 11.520225 ÷ 997 =
  12. 12.7735 ÷ 88 =
  13. 13.17386 ÷ 89 =
  14. 14.395250 ÷ 988 =
  15. 15.540350 ÷ 988 =
  16. 16.20333 ÷ 88 =
  17. 17.587410 ÷ 997 =
  18. 18.480875 ÷ 997 =
  19. 19.228955 ÷ 897 =
  20. 20.60923 ÷ 98 =
  21. 21.57864 ÷ 96 =
  22. 22.44718 ÷ 96 =
  23. 23.91916 ÷ 89 =
  24. 24.93660 ÷ 89 =
  25. 25.577515 ÷ 998 =
  26. 26.31002 ÷ 97 =
  27. 27.8404 ÷ 8 =
  28. 28.6460 ÷ 8 =
  29. 29.93706 ÷ 98 =
  30. 30.969395 ÷ 988 =
  31. 31.99944 ÷ 989 =
  32. 32.2057 ÷ 8 =
  33. 33.39458 ÷ 97 =
  34. 34.2620 ÷ 8 =
  35. 35.46463 ÷ 88 =
  36. 36.55751 ÷ 96 =
  37. 37.28943 ÷ 88 =
  38. 38.3914 ÷ 8 =
  39. 39.81425 ÷ 88 =
  40. 40.361804 ÷ 897 =

Answer key

  1. 237 rem 126
  2. 559 rem 44
  3. 638 rem 36
  4. 155 rem 479
  5. 894 rem 9
  6. 830 rem 407
  7. 155 rem 873
  8. 198 rem 144
  9. 947 rem 974
  10. 770 rem 81
  11. 521 rem 788
  12. 87 rem 79
  13. 195 rem 31
  14. 400 rem 50
  15. 546 rem 902
  16. 231 rem 5
  17. 589 rem 177
  18. 482 rem 321
  19. 255 rem 220
  20. 621 rem 65
  21. 602 rem 72
  22. 465 rem 78
  23. 1032 rem 68
  24. 1052 rem 32
  25. 578 rem 671
  26. 319 rem 59
  27. 1050 rem 4
  28. 807 rem 4
  29. 956 rem 18
  30. 981 rem 167
  31. 101 rem 55
  32. 257 rem 1
  33. 406 rem 76
  34. 327 rem 4
  35. 527 rem 87
  36. 580 rem 71
  37. 328 rem 79
  38. 489 rem 2
  39. 925 rem 25
  40. 403 rem 313

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