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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 925 · 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. 1.15671 ÷ 96 =
  2. 2.56548 ÷ 97 =
  3. 3.6270 ÷ 88 =
  4. 4.2039 ÷ 8 =
  5. 5.89193 ÷ 88 =
  6. 6.80191 ÷ 88 =
  7. 7.924897 ÷ 989 =
  8. 8.9393 ÷ 8 =
  9. 9.8284 ÷ 8 =
  10. 10.124027 ÷ 997 =
  11. 11.69674 ÷ 88 =
  12. 12.894715 ÷ 988 =
  13. 13.83509 ÷ 88 =
  14. 14.53361 ÷ 88 =
  15. 15.261989 ÷ 998 =
  16. 16.44856 ÷ 98 =
  17. 17.230614 ÷ 998 =
  18. 18.48397 ÷ 98 =
  19. 19.224922 ÷ 897 =
  20. 20.354086 ÷ 998 =
  21. 21.22981 ÷ 98 =
  22. 22.590006 ÷ 998 =
  23. 23.49893 ÷ 89 =
  24. 24.616966 ÷ 988 =
  25. 25.189932 ÷ 988 =
  26. 26.979008 ÷ 897 =
  27. 27.899145 ÷ 997 =
  28. 28.85104 ÷ 988 =
  29. 29.156662 ÷ 897 =
  30. 30.625184 ÷ 998 =
  31. 31.49435 ÷ 98 =
  32. 32.34960 ÷ 88 =
  33. 33.59856 ÷ 98 =
  34. 34.60326 ÷ 98 =
  35. 35.557418 ÷ 988 =
  36. 36.15672 ÷ 88 =
  37. 37.982846 ÷ 988 =
  38. 38.23572 ÷ 98 =
  39. 39.947460 ÷ 997 =
  40. 40.570506 ÷ 998 =

Answer key

  1. 163 rem 23
  2. 582 rem 94
  3. 71 rem 22
  4. 254 rem 7
  5. 1013 rem 49
  6. 911 rem 23
  7. 935 rem 182
  8. 1174 rem 1
  9. 1035 rem 4
  10. 124 rem 399
  11. 791 rem 66
  12. 905 rem 575
  13. 948 rem 85
  14. 606 rem 33
  15. 262 rem 513
  16. 457 rem 70
  17. 231 rem 76
  18. 493 rem 83
  19. 250 rem 672
  20. 354 rem 794
  21. 234 rem 49
  22. 591 rem 188
  23. 560 rem 53
  24. 624 rem 454
  25. 192 rem 236
  26. 1091 rem 381
  27. 901 rem 848
  28. 86 rem 136
  29. 174 rem 584
  30. 626 rem 436
  31. 504 rem 43
  32. 397 rem 24
  33. 610 rem 76
  34. 615 rem 56
  35. 564 rem 186
  36. 178 rem 8
  37. 994 rem 774
  38. 240 rem 52
  39. 950 rem 310
  40. 571 rem 648

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