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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 948 · 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. 1.87648 ÷ 97 =
  2. 2.39051 ÷ 89 =
  3. 3.1546 ÷ 8 =
  4. 4.190456 ÷ 897 =
  5. 5.27007 ÷ 96 =
  6. 6.60023 ÷ 98 =
  7. 7.92713 ÷ 89 =
  8. 8.829416 ÷ 998 =
  9. 9.5981 ÷ 89 =
  10. 10.136498 ÷ 988 =
  11. 11.45577 ÷ 98 =
  12. 12.133675 ÷ 998 =
  13. 13.62138 ÷ 97 =
  14. 14.95526 ÷ 88 =
  15. 15.44795 ÷ 89 =
  16. 16.168370 ÷ 897 =
  17. 17.73287 ÷ 88 =
  18. 18.34107 ÷ 96 =
  19. 19.770933 ÷ 988 =
  20. 20.799372 ÷ 997 =
  21. 21.4023 ÷ 8 =
  22. 22.11233 ÷ 88 =
  23. 23.20530 ÷ 88 =
  24. 24.82175 ÷ 89 =
  25. 25.442761 ÷ 989 =
  26. 26.726718 ÷ 897 =
  27. 27.98023 ÷ 89 =
  28. 28.48009 ÷ 88 =
  29. 29.81314 ÷ 88 =
  30. 30.234360 ÷ 989 =
  31. 31.653055 ÷ 989 =
  32. 32.49859 ÷ 98 =
  33. 33.33990 ÷ 96 =
  34. 34.445481 ÷ 998 =
  35. 35.10427 ÷ 97 =
  36. 36.775844 ÷ 989 =
  37. 37.96883 ÷ 97 =
  38. 38.29111 ÷ 89 =
  39. 39.889348 ÷ 997 =
  40. 40.12939 ÷ 96 =

Answer key

  1. 903 rem 57
  2. 438 rem 69
  3. 193 rem 2
  4. 212 rem 292
  5. 281 rem 31
  6. 612 rem 47
  7. 1041 rem 64
  8. 831 rem 78
  9. 67 rem 18
  10. 138 rem 154
  11. 465 rem 7
  12. 133 rem 941
  13. 640 rem 58
  14. 1085 rem 46
  15. 503 rem 28
  16. 187 rem 631
  17. 832 rem 71
  18. 355 rem 27
  19. 780 rem 293
  20. 801 rem 775
  21. 502 rem 7
  22. 127 rem 57
  23. 233 rem 26
  24. 923 rem 28
  25. 447 rem 678
  26. 810 rem 148
  27. 1101 rem 34
  28. 545 rem 49
  29. 924 rem 2
  30. 236 rem 956
  31. 660 rem 315
  32. 508 rem 75
  33. 354 rem 6
  34. 446 rem 373
  35. 107 rem 48
  36. 784 rem 468
  37. 998 rem 77
  38. 327 rem 8
  39. 892 rem 24
  40. 134 rem 75

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