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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 780 · 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. 1.453347 ÷ 989 =
  2. 2.9973 ÷ 89 =
  3. 3.39371 ÷ 96 =
  4. 4.118746 ÷ 998 =
  5. 5.759449 ÷ 897 =
  6. 6.7204 ÷ 8 =
  7. 7.69641 ÷ 98 =
  8. 8.69963 ÷ 96 =
  9. 9.43121 ÷ 98 =
  10. 10.40416 ÷ 96 =
  11. 11.594252 ÷ 997 =
  12. 12.62732 ÷ 88 =
  13. 13.4456 ÷ 89 =
  14. 14.3371 ÷ 8 =
  15. 15.22347 ÷ 88 =
  16. 16.527910 ÷ 988 =
  17. 17.51038 ÷ 98 =
  18. 18.941022 ÷ 989 =
  19. 19.52961 ÷ 97 =
  20. 20.865 ÷ 8 =
  21. 21.10528 ÷ 97 =
  22. 22.101728 ÷ 998 =
  23. 23.188996 ÷ 989 =
  24. 24.45193 ÷ 989 =
  25. 25.451940 ÷ 897 =
  26. 26.29860 ÷ 89 =
  27. 27.43570 ÷ 89 =
  28. 28.955107 ÷ 897 =
  29. 29.70923 ÷ 89 =
  30. 30.622002 ÷ 998 =
  31. 31.85441 ÷ 89 =
  32. 32.996800 ÷ 997 =
  33. 33.129358 ÷ 997 =
  34. 34.484786 ÷ 989 =
  35. 35.86831 ÷ 88 =
  36. 36.353355 ÷ 989 =
  37. 37.7540 ÷ 8 =
  38. 38.137432 ÷ 988 =
  39. 39.28320 ÷ 88 =
  40. 40.17135 ÷ 96 =

Answer key

  1. 458 rem 385
  2. 112 rem 5
  3. 410 rem 11
  4. 118 rem 982
  5. 846 rem 587
  6. 900 rem 4
  7. 710 rem 61
  8. 728 rem 75
  9. 440 rem 1
  10. 421 rem 0
  11. 596 rem 40
  12. 712 rem 76
  13. 50 rem 6
  14. 421 rem 3
  15. 253 rem 83
  16. 534 rem 318
  17. 520 rem 78
  18. 951 rem 483
  19. 545 rem 96
  20. 108 rem 1
  21. 108 rem 52
  22. 101 rem 930
  23. 191 rem 97
  24. 45 rem 688
  25. 503 rem 749
  26. 335 rem 45
  27. 489 rem 49
  28. 1064 rem 699
  29. 796 rem 79
  30. 623 rem 248
  31. 960 rem 1
  32. 999 rem 797
  33. 129 rem 745
  34. 490 rem 176
  35. 986 rem 63
  36. 357 rem 282
  37. 942 rem 4
  38. 139 rem 100
  39. 321 rem 72
  40. 178 rem 47

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